What is the solution of the equation 2x y 4 and 3x 2y =- 1?

Answers

Answer 1

The solution of the equation 2x+y=4 and 3x-2y=-1 is the value of x = 1, while the value of y = 2

We have, the sets of equations as:

2x+y=4 and 3x-2y=-1?

As here, let 2x+y = 4 ----(i) and 3x-2y = -1 ----(ii)

As here to solve the value of x and y we will first equalise the co-efficient of x.

Here, the co-efficient of x in the first equation is 2, while in the second equation it is 3

So, for equalising, we will first multiply the first equation by 3 and the second by 2,

Thus, we will get it as:

6x+3y=12 ----(iii)

6x-4y=-2----(iv)

Now subtracting (iv) from (iii)

We will get,

7y = 14

=>y=2

Putting the value of y in (i),

2x=4-y = 4-2 =2

=>x = (2/2)=1

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The complete question may be like:

What is the solution of the equations 2x+y=4 and 3x-2y=-1?​


Related Questions

what is the vertex of this graph?
Is the vertex a minimum or a maximum?

Answers

Answer:

Maximum

Step-by-step explanation:

Answer:

(-2, -3)

Maximum

Step-by-step explanation:

The vertex of a parabola is the highest or lowest point,

(-2, -3)

Maximum

Determine the prices for which quantity demanded is greater than quantity supplied.

Answers

The prices where the quantity demanded is greater than quantity supplied are :

$ 2$ 1$ 0

When is quantity demanded greater than quantity supplied ?

Quantity demanded refers to the amount of goods and services that people and businesses in an economy demand.

This amount of goods and services demanded will be more than the quantity supplied when the price of the good or service is less than the equilibrium price.

The equilibrium price here is $ 3 and so the prices less than $ 3 are $2, $1, and $ 0.

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ILL BRAINLIEST YOU PLEASE HELP ME

Answers

Answer:

13 is x, 9 is y

Step-by-step explanation:

27/3, 30-4/2

Answer:

x=17

y=9

Step-by-step explanation:

What is the LCM of 72, 96and 160​

Answers

Ladder method:

Keep dividing the number by 2, 3, 4 etc. (By the lowest value) until you reach 1.
In order to find LCM, take the highest value of all the 3 numbers and multiply them together.

Hope it made sense for you!

BRAINIEST TO WHOEVER RIGHT

Answers

Answer:

Step-by-step explanation:

If tomato juice, with a pH of 4.2, is 75 times as acidic as milk, what is the pH of milk?

Answers

Answer:

0.056

Step-by-step explanation:

75 / T4.2= 0.056

What is the solution to the equation 9 W 4 )- 7w 5 3w 2?

Answers

The solution to w in the equation 9(w - 4) - 7w = 5(3w - 2) is w = -2.

Now, According to the question:

The given Equation:

9(w-4)-7w=5(3w-2)

To solve for w we first need to simplify our equation, removing any brackets and adding together similar terms. This gives us:

9(w-4)-7w=5(3w-2)

9w - 36 -7w = 15w - 10

2w - 36 = 15w - 10

Next, we subtract 2w from both sides to have all the variables on one side of our equation, then we add 10 to both sides to move the numerical values to one side.

2w - 36 = 15w - 10

2w -2w - 36 = 15w - 2w - 10

-36 = 13w - 10

-36 + 10 = 13w - 10 + 10

-26 = 13w

Finally, we divide both sides by 13 to find the value of w.

w = -2

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The complete question is this :

What is the solution to the equation of 9(w - 4) - 7w = 5(3w - 2).

Solve for c.

c2−9=b2

Answers

Answer:

Step-by-step explanation:

Let's solve for c.

c2−9=b2

Step 1: Add 9 to both sides.

c2−9+9=b2+9

c2=b2+9

Step 2: Take square root.

c=√b2+9 or c=−√b2+9

Answer:

c=√b2+9 or c=−√b2+9

Is the inverse of every linear function also a function?

Answers

In most cases, the inverse of a linear function is also a linear function.

What is a linear function?

The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

A function with the formula f(x) = ax + b, where a and b are real values, is referred to as a linear function.

Here, stands for the line's gradient and b for the y-axis intercept (which is sometimes called the vertical intercept).

These functions' graphs are mirror images of one another when viewed along the line y=x.

As a result, the points on the graph of f(x) are the points on the graph of f(x) that have been turned around.

A linear function's inverse is typically also a linear function.

Therefore, in most cases, the inverse of a linear function is also a linear function.

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Fractions

Malik and his friends ate 1.

1
--
4

pepperoni pizzas, 2 cheese pizzas, and

2
--
3

of a vegetarian pizza.

a) How many pizzas did they eat?

b) How many more cheese pizzas than

vegetarian pizzas did they eat?

Answers

a) The total amount of pizzas that they ate is given as follows: 2.92 pizzas.

b) The difference between the number of cheese pizzas and the number of vegetarian pizzas is given as follows: 4/3, which is the amount that they ate more of cheese pizzas than vegetarian pizzas.

How to obtain the amounts?

The fractions relative to the amount of each type of pizza eaten are given as follows:

Pepperoni pizza: 1/4.Cheese pizza: 2.Vegetarian pizza: 2/3.

The total amount of pizzas eaten is given by the addition of these fractions, hence:

1/4 + 2 + 2/3 = 3/12 + 24/12 + 8/12

(as the least common factor between 4, 1 and 3 is of 12).

3/12 + 24/12 + 8/12 = (3 + 24 + 8)/12

(3 + 24 + 8)/12 = 35/12

2.92 pizzas.

The difference between the number of cheese pizzas and the number of vegetarian pizzas is obtained as follows:

2 - 2/3 = 6/3 - 2/3 = 4/3.

(as the least common factor of 1 and 3 is of 3).

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The cost of a smartphone is $199. A newer model costs 10% more. Which choice is closest to the sale price of the newer model after a 20% discount? *

Answers

Answer:

$199 + 10% - 20% = $175. 12  

hope this helped

Step-by-step explanation:

[need some help! will give brainlist!]

Write the terms in standard form. Then state the degree of the polynomial and the leading coefficient (LC).

Answers

It can be written in standard form as [tex]5x^2-2+3[/tex] and the degree of polynomial is 2 with leading coefficient as 2.5.

How do you format a standard form of writing?

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. When an equation is given in this format, finding both intercepts is fairly simple (x and y). When attempting to solve systems of two linear equations, this form is also very helpful.

What are some terms examples?

The values on which mathematical operations take place in an algebraic expression are known as terms in mathematics. Let's explain with the help of a term example. This algebraic expression has terms 8x and 9, respectively.

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y=1200(1+.3)⁶ whats the intial value what the growth rate. what does 6 represent ​

Answers

Answer:

y=1200(1+.3)⁶

initial value =

y=5792.1708

6 represent time.

Answer:

msm555 is correct

hope it's help you

have a good day

Calculate the volume of a hemisphere with a diameter of 9 feet, rounded to the nearest hundredths

Answers

Answer:

190.85

Step-by-step explanation:

Y’all please help my mind isn’t working please

Answers

Answer:

Step-by-step explanation:

To find values of y we substitute values of x in the given expression so when x = 0

y = (0)^2 - 6(0) + 3

  = 3.

x = 1, y = 1^2 - 6(1) + 3 = -2

x = 3, y = 3^2 - 6(2) + 3 = 0.

Use these values to draw the graph

(a)  Read this from the graph

Coordinates of the minimum should be 3, -6)

(b) Equation of the line of symmetry is the vertical line through the minimum point ( x = 3).

(c)  Read these from the graph.

(the points where the graph cut the x-axis).

(d) and e - read the values from your graph.

how many solution do the following equation have 3x-16+3x=9x+29

Answers

Answer:

-15

Step-by-step explanation:

3x-16+3x=9x+29

3x+3x-16=9x+29

6x-16=9x+29

6x-9x-16=29

-3x-16=29

-3x=29+16

-3x=45

x=45/-3

x=-15


5 parents and 3 children cost £ 13.20
2 parents and 1 child cost £ 5.10
Find the cost of 1 child
Find the cost of 1 parent

Answers

Answer:

The cost of 1 child is £ 3.40 and the cost of 1 parent is £ 4.10. To determine this, we can use the following equation:

Cost of 1 child = (13.20 - 5.10) / (5 parents + 3 children)

Cost of 1 parent = (13.20 - 5.10) / (2 parents + 1 child)

Hope this helps!

Step-by-step explanation:

How do you find the 3 side of a triangle?

Answers

Answer:

by using sine rule and cosine rule.

the length breadth and height of a cuboid are in the ratio 7:5:2 its volume is 35840cm³

Answers

The length of the cuboid is 56 cm.

The breadth of the cuboid is 40 cm.

The height of the cuboid is 16 cm.

What is a cuboid?

A cuboid is a three-dimensional shape where the volume is given by

Length x width x height.

We have,

Volume of a cuboid = 35840 cm³

The ratio of length, breadth, and height of the cuboid = 7:5:2

This means,

Length = 7x

Breadth = 5x

Height = 2x

Now,

(7x)(5x)(2x) = 35840

70x³ = 35840

x³ = 512

x = ∛512

x = 8

Now,

Length = 7x = 7 x 8 = 56 cm

Breadth = 5x = 5 x 8 = 40 cm

Height = 2x = 2 x 8 = 16 cm

Thus,

The length, breadth, and height of the cuboid are 56cm, 40cm, and 16 cm.

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Sadie just got a new puppy. She is supposed to feed it 250 grams of food every day. She wants to buy enough food to last three weeks. How many kilograms of dog food does she need to buy?

Answers

Yes you are right and I think that you would be a great president

“Theresa’s Transportation” rental car company charges $30 to rent a car and $0.60 per mile for each rental. “Pete’s propulsions” rental car company charges $20 to rent a car and $0.85 per mile. After how many miles will it be more expensive to rent from Pete’s Propulsions than Theresa’s Transportation

Answers

On solving the provided question, we got to know that he fraction  can bake 200/57 loaves or 3 29/57 loafs.

what is fraction?

Mathematically speaking, fractions are represented by integers that indicate a portion of a whole. In the same way that a whole can be any quantity, value, or object, a fraction can be a portion or subset of any quantity of a whole. As an example, let's try to comprehend this idea. The pizza in the picture below is cut into 8 equally sized pieces. The chosen slice of pizza might now be expressed as 1/8 if we wanted to. This indicates that we are talking about one of eight equally sized sections. It denotes a ratio of 1/8. Reading options include: One-eighth, or

1 by 8

13 1/3 divided by 3 4/5

Let's first convert these mixed numbers to incorrect fractions.

13  1/3 =  13(3) + 1 = 39 + 1 = 40/3

3 4/5 = 3(5) + 4= 19/5

Now that we have divided 40/3 by 19/5, we can just switch the operation to multiplication and flip the second fraction because we know how to divide fractions.

40/3 x 5/19 = 200/57

he can bake 200/57 loaves or 3 29/57 loafs.

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1. What value of x makes the equation 6x - 14+ 3(2x - 1) = 5 - 2(x - 10) true?​

Answers

yeet this is a thicc problem...

6x - 14 + 3(2x-1) = 5 - 2(x-10)

first expand

6x - 14 + 6x -3 = 5 -2x-20

now put constants and variables on either sides of the thingamajig

6x+6x+2x= 5 - 20 + 3 + 14

14x = 2

x = 1/7

i deserve an award for that XD

The value x = 3 makes the given equation true.

Important information:

The given equation is [tex]6x-14+3(2x-1)=5-2(x-10)[/tex].Equation:

The given equation can be written as:

[tex]6x-14+6x-3=5-2x+20[/tex]

[tex]12x-17=-2x+25[/tex]

Isolate the variable.

[tex]12x+2x=25+17[/tex]

[tex]14x=42[/tex]

[tex]x=\dfrac{42}{14}[/tex]

[tex]x=3[/tex]

Therefore, the required value of x is 3.

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2 members of the 5-member math study group will present their project to the class. How many combinations of 2 members are possible from the 5-member study group?

Answers

Answer:

2

Step-by-step explanation:

(,)=?

(,)=(5,2)

=5!(2!(5−2)!)

=5!2!×3!

= 10

Can 30 60 and 90 be the angles of a triangle?

Answers

No, the sum of the angles of a triangle must add up to 180 degrees. 30 + 60 + 90 = 180, so these angles cannot form a triangle.

The sum of the angles of a triangle must always add up to 180 degrees. To determine if a set of angles can form a triangle, add the angles together. If the sum is 180, the angles can form a triangle. In this case, 30 + 60 + 90 = 180, which does not equal 180. Therefore, these angles cannot form a triangle.

No, the sum of the angles of a triangle must add up to 180 degrees. 30 + 60 + 90 = 180, so these angles cannot form a triangle.

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A saw mill cuts boards that are 16 ft long. After they are cut, the boards are inspected and

rejected if the length has a percent error of 1. 5% or more. The saw mill also cuts boards that are 10, 12, and 14 feet long. An inspector rejects a board that

was 2. 3 inches too long. What was the intended length of the board?

Answers

Some acceptable board lengths are: 15.8 ft, 16.20 ft and 16.10 feet

Some board lengths to reject are: 14.8 ft, 17.20 ft and 12.10 feetThe intended lengths are 10.19, 12.19 and 14.19 feet

Now, According to the question:

Board lengths that should be accepted

From the question, we have the following parameters that can be used in our computation:

Length = 16 ft

Percent error = 1.5%

This means that the acceptable lengths are

Acceptable = Length ± Percent error * Length

Substitute the known values in the above equation, so, we have the following representation

Acceptable = 16 ± 1.5% * 16

So, we have

Acceptable = 16 ± 0.24

Evaluate

Acceptable = 15.76 to 16.24

Some board lengths that should be accepted are 15.8 ft, 16.20 ft and 16.10 feet

Board lengths that should be rejected

In (a), we have

Acceptable = 15.76 to 16.24

Some board lengths that should be rejected are 14.8 ft, 17.20 ft and 12.10 feet

The intended lengths of the boards

Here, we have

Lengths = 10, 12 and 14 feet

Length too long = 2.3 inches

Convert to inches

Length too long = 0.19

So, we have

Intended lengths = (10, 12 and 14 feet) + 0.19

Evaluate

Intended lengths = 10.19, 12.19 and 14.19 feet

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A high school statistics class wants to conduct a survey to determine what percentage of students in the school would be willing to pay a fee for participating in after-school activities. Twenty students are randomly selected from each of the freshman, sophomore, junior, and senior classes to complete the survey. This plan is an example of which type of sampling

Answers

This method is used when the population has distinct subgroups.

The plan to conduct a survey by randomly selecting 20 students from each of the freshman, sophomore, junior, and senior classes is an example of stratified random sampling.

In stratified random sampling, the population is first divided into subgroups or strata based on some characteristic, such as class level (freshman, sophomore, junior, senior), and a random sample is then selected from each stratum.

This method is used when the population has distinct subgroups and it is important to ensure that the sample is representative of each subgroup. In this case, by taking random samples of 20 students from each class level, the statistics class can ensure that the survey results accurately reflect the views of each class level and not just one particular group.

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A school fundraiser sells 1,200 raffel tickets each ticket costs 2 there is one grand prize worth 100 and 5 smaller prizes 20each what is the excpeted gain or loss for buying 1 ticket

Answers

So you don’t have to click the link from the person before,
the answer is “LOSS OF $1.38” :)

The system Px + Qy = R has the solution (3,-1), where F, G, H, P, Q, and
Fx + Gy = H
R are nonzero real numbers.

Select all the systems that are also guaranteed to have the solution (3,-1)


a.) (P + F)x + (Q + G)Y = R + H

Fx + Gy = H

b.) (P + F)x + Qy = R + H

Fx + (G + Q)y = H

c.) Px + Qy = R

(3P + F)x + (3Q + G)y = 3H + R

d.) Px + Qy = R

(F - 2P)x +(G - 2Q)y = H - 2R

e.) Px + Qy = R

5Fx + 5Gy = 5H


*Please explain how you got your answer because I really don't understand this!

Answers

Answer:

The systems that are guaranteed have the solution (3, -1) are;

a.) (P + F)·x + (Q + G)·y = R + H

F·x + G·y = H

d.) P·x + Q·y = R

(F - 2·P)·x + (G - 2·Q)·y = H - 2·R

e) P·x + Q·y = R

5·F·x + 5·G·y = 5·H

Step-by-step explanation:

The given system of equation are;

a) P·x + Q·y = R...(1)

F·x + G·y = H...(2)

The solution of the system of equation = (3, -1)

Adding equation (1) to equation (2) gives;

P·x + Q·y + F·x + G·y = R + H

(P + F)·x + (Q + G)·y = R + H...(3)

Therefore, given that equation (3) is obtained from equation (1) and (2) by addition, equation (3), (P + F)·x + (Q + G)·y = R + H, we have;

The system of  equation;

(P + F)·x + (Q + G)·y = R + H

F·x + G·y = H, derived from the given system of equation Is bound to have the same same solution (3, -1) as the given system of equation

d.) By multiplying equation (1) by 2, we have;

2 × (P·x + Q·y) = 2 × R

2·P·x + 2·Q·y = 2·R...(4)

Subtracting equation (4) from equation (2) gives;

F·x + G·y - (2·P·x + 2·Q·y) = H - 2·R

F·x - 2·P·x + G·y - 2·Q·y = H - 2·R

(F - 2·P)·x + (G - 2·Q)·y = H - 2·R

Therefore, for the following system, obtained from the original system, we have that the solution is (3, -1);

P·x + Q·y = R

(F - 2·P)·x + (G - 2·Q)·y = H - 2·R

e) For the system of equation, we have;

P·x + Q·y = R

5·F·x + 5·G·y = 5·H

The above system of equation is obtained from the original system by multiplying equation (2) by 5, therefore the solution of the system P·x + Q·y = R, 5·F·x + 5·G·y = 5·H is the same as the solution for the original system of equations (3, -1).

What is the volume of the prism?

14 m3
24 m3
30 m3
44 m

Answers

Answer:

the answer is 24 m3

                                             

PLEASE HELP CUZ IMMA GIVE 50 POINTS

Answers

Answer:

10^14

10^27

10^18

10^6

10^6

10^35

Step-by-step explanation:

all of them are in order

If two powers are being mulitplied from the same base, then they are multiplied. For example, if 10^3 is being multiplied to 10^2, then the answer is 10^6.

If a power is being raised to another power, then the powers are multiplied. For example (10^7)^2 then the a simple form would be 10^14

Exponents get added together when multiplied.

A. 10^9

B. 10^12

C. 10^9

D. 10^5

E.10^5

F.10^12

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