Solve the simultaneous equations using elimination method.
4x – 3y = 1
x + 3y =​

Answers

Answer 1

Answer:

[tex]x=\frac{1}{5}[/tex]

[tex]y = -\frac{1}{15}[/tex]

Step-by-step explanation:

4x - 3y = 1

x + 3y = 0

Req To Solve With Elimination:

Make Them Equal:

-> 4x - 3y = 1

-> 4x + 4 . 3y = 0

Simplify:

->  4x - 3y = 1

-> 4x + 12y = 0

-> 4x - 4x - 3y - 12y = 1

-> -3y - 12y = 1

-> -15y = 1

-> [tex]y = -\frac{1}{15}[/tex]

-> [tex]x+3(-\frac{1}{15} )=0[/tex]

-> [tex]x -\frac{1}{5}=0\\[/tex]

-> [tex]x=\frac{1}{5}[/tex]

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Answer 2

Answer:

4x – 3y = 1

x + 3y =​

Adding the equations gives us:

5x =1

x = .2

since 4x - 3y = 1

then -3y -1 = -4x then we multiply by -1

3y +1 = 4x

3y = 4*.2 -1

3y = .8 -1

3y = -.2

y = -.2 / 3  = -0.066666666...

For a double check you can use Cramer's Rule

http://www.1728.org/cramer.htm

Step-by-step explanation:


Related Questions

Please help me I’ll mark you brainly

Answers

On solving the provided question, we can say that -  here in graph we have on solving equation  [tex]2x^2+ 9y^2 \\[/tex] = [tex]8 + 9 = 17[/tex]

What is equation?

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

here,

from graph, x= 2

y = 1

[tex]2x^2+ 9y^2 \\[/tex]

[tex]8 + 9 = 17[/tex]

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Where did u get the 55 and 88 from?

Answers

Answer:

11

Step-by-step explanation:

11 times 5 is 55

11 times 8 is 55

3a+2b
Help me please
I can’t do it

Answers

Answer:

Question is not clear

Step-by-step explanation:

4 is greater than x, and x is greater than -7. Write the following as an inequality.

Answers

The answer to the question is :
4 > x > -7

Directions: Determine whether each relation is a function. Explain your answer.
X
12)
10)
#IN
13)
x
14)
15)
10

Answers

Answer:

10. Yes
11. No
12. Yes
13. Yes
14. No
15. No

Step-by-step explanation:

Use the vertical line test to determine whether or not a relation is a function. The vertical line test is when you draw a line through a relation and if that line intersects the relation more than ONCE, the relation is not a function.

10. Is a function, the vertical line only intersects the relation once.
11. Isn't a function, intersects the relation more than once.
12. Is a function, intersects the relation only once.
13. Is a function, only intersects the relation once.
14. Isn't the function, intersects the relation more than once.
15. Isn't a function, the relation intersects the function more than once.

Hope this helps.


Draw the image of AABC under the translation (x,y) → (x,y+3)

Answers

Answer:

Move the image up the y-axis 3

Step-by-step explanation:

+ means up because it's on the y axis

HELPPP PLEASEEEEE, BRIANLEST WILL BE GIVEN ON CORRECT!​

Answers

Step-by-step explanation:

For the first term

[tex]\Rightarrow \dfrac{6}{5}=\dfrac{5+1}{5}\\\\\Rightarrow 5+\dfrac{1}{5}=5\dfrac{1}{5}[/tex]

(b)

[tex]\Rightarrow \dfrac{11}{7}=\dfrac{7+4}{7}\\\\\Rightarrow 1+\dfrac{4}{7}=7\dfrac{4}{7}[/tex]

(c)

[tex]\Rightarrow \dfrac{21}{4}=\dfrac{20+1}{4}\\\\\Rightarrow 5+\dfrac{1}{4}=5\dfrac{1}{4}[/tex]

(d)

[tex]\Rightarrow \dfrac{32}{7}=\dfrac{28+4}{7}\\\\\Rightarrow 4+\dfrac{4}{7}=4\dfrac{4}{7}[/tex]

(e)

[tex]\Rightarrow \dfrac{24}{9}=\dfrac{18+6}{9}\\\\\Rightarrow 2+\dfrac{6}{9}=2\dfrac{6}{9}[/tex]

(f)

[tex]\Rightarrow \dfrac{25}{6}=\dfrac{24+1}{6}\\\\\Rightarrow 4+\dfrac{1}{6}=4\dfrac{1}{6}[/tex]

Use the dropdown to complete the following inequality. PLEASE HELP!!!​

Answers

I can’t see the link...

Answer:

a-b is greater than

Step-by-step explanation:


Last year there were 90 players in the So Cal Soccer League. This year, the enrollment decreased by 30%. How many players are now in the league?

Answers

answer:
63 players

step-by-step explanation:
30% of 90 is 27
0.30 • 90
90-27
63

a local zoo has 900 pounds of bamboo to feed the giant panda. Each day, the giant panda eats 30 pound of bamboo. An accident happens and 125 pounds of the bamboo cannot be fed to the giant panda Determine the range of the number of days the zoo has more than 500 pounds of bamboo left.

Answers

The range of days to have 500 pounds left is 30 - 17.5 days

What is range?

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

For example the range in the ages 10,15,11,12,18 of students in a class is 18-10 = 8

The maximum days to feed the giant panda if the giant panda feeds on 30pounds per day is 900/30 = 30days

but due to accident 125 pounds are not good

Therefore the new pound of bamboo = 900- 125 = 875 pounds

The range of pounds when the minimum pound is 500 = 875-500 = 375 pounds

therefore no of days on 375 pounds = 375/30 = 12.5

Therefore the range of days to have more thanq 500 pounds = 30-12.5 = 17.5 days

The range of days the zoo has more than 500 pounds of bamboo is 30 - 17.5days

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The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms. About 21,000 cubic feet of road salt is used during a typical snow storm.

a. What is the total volume of the storage shed?
b. How many snow storms can the town expect to handle before the storage shed needs to be refilled with additional road salt?

Answers

The volume of the storage shed is 125600 ft³.

The storage shed will be refilled after using 125600 ft³ of salt.

How to find the volume of the storage shed?

The cylindrical storage shed shown below is completely filled with road salt to make a town's roads safer during snow storms.

The volume of the storage shed can be found as follows;

volume of a cylinder = πr²h

where

r = radiush = height

Therefore,

r = 40 / 2  =20 ft

h = 100 ft

volume of the storage shed = 3.14 × 20² × 100

volume of the storage shed = 3.14 × 400 × 100

volume of the storage shed = 125600 ft³

Therefore, the storage shed can handle 125600 ft³ of salt before it needs to be refilled.

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.29 divided by 89.03

Answers

Answer: 307

Step-by-step explanation:

89.03/.29

Answer:  0.00325732899

Step-by-step explanation: May God bless you!

A wooden block in the shape of a cube has a side length of 0.3 meter and has a mass of 18.954 kilograms.
What is the density of the block?
Enter your answer in the box.
kg/m

Answers

Answer:

702

Step-by-step explanation:

A wooden block in the shape of a cube has a side length of 0.3 meter and has a mass of 18.954 kilograms.

What is the density of the block?

Enter your answer in the box.

702

Answer:702

Step-by-step explanation:

We first have to find the volume of the cube: (0.3 * 0.3 * 0.3) we then get 0.027, then we plug in the numbers for the density formula. D = 18.954/0.027 will give us 702.

what is the unit rate for meters per second if a car travels 424 meters in 8 seconds

Answers

The unit rate for meters per second if a car travels 424 meters in 8 seconds is 53 meters per second.

How to find the unit rate?

The unit rate meters per second can be determine using this formula

Unit rate meters per second = Number of meters / Numbers of seconds

Where:

Number of meters = 424 meters

Numbers of seconds = 8 seconds

Let plug in the formula

Unit rate meters per second  = 424 meters / 8 seconds

Unit rate meters per second = 53 meters per second

Therefore we can conclude that the Unit rate meters per second  is 53 meters per seconds.

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Describe the error in graphing f(x) for the function, then graph it correctly.
(rough graph only)!
f(x) = (x – 4)(x + 1)?

Answers

Step-by-step explanation:

sorry tried but dont know

On the first day of spring, an ențire field of flowering trees blossoms. The population of locusts consuming these flowers rapidly increases as the trees blossom. The relationship between the elapsed time, t, in days, since the beginning of spring, and the total number of locusts, Nday (t), is modeled by the following function: Nday (t) = 300.(1.2)^t
Complete the following sentence about the weekly rate of change in the locust population.
Round your answer to two decimal places.
Every week, the number of locusts grows by a factor of

Answers

Answer:

  3.58

Step-by-step explanation:

You want to know the weekly growth factor if the daily growth factor is 1.2.

7 days

The weekly growth factor will be the growth factor over 7 days:

  (1.2)^7 ≈ 3.58

Every week, the number of locusts grows by a factor of 3.58.

__

Additional comment

The exponential model is ...

  number = (initial number)(growth factor)^t

The period of time associated with the growth factor is the units associated with t. Since 1 week = 7 days, the multiplier for 7 days is ...

  weekly growth factor = (daily growth factor)^7

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If a man works for 8 hours a day, he can finish a job in 12 days. How many hours per day must he work to complete it in 10 days?

Answers

Answer:

9.6 hours

Step-by-step explanation:

12×8 would equal the amount of hours it takes to complete the job in 12 days so you simply divide that number by 10 which will give you 9.6h

Answer:

6.67 hour per day

Step-by-step explanation:

If

=8 hours a day = 12 days

then

= ? = 10 days

= 10/12 × 8hours per

= 6.67 hours per day.

Someone please just help me my grads are so bad please help me out

Answers

Answer:

7 is top answer bottom is 6, 5, and 5

Step-by-step explanation:

simple math but your welcome

Helpp!! Solve the system by graphing.

Answers

The solution of the system of equations:

y = 3x - 4

y = (-1/2)*x + 3

Is (2, 2).

How to solve a system of equations graphically?

Here we have the following system of equations:

y = 3x - 4

y = (-1/2)*x + 3

To solve this graphically, we just need to graph both equations on the same coordinate axis, and find a point where these two graphs intercept.

Below you can see the graph of the system, and there you can see that the lines intercept at the point (2, 2), so that is the solution of the system.

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pleaseee helpppp this is so frustrating pleaseeeeee helloppppp!!

Answers

Answer:

YXZ is an acute angled equilateral triangle

x=60°

The stranger decides to tell the captain his story. From the look on the stranger's face in Frankenstein, what kind of a story does the captain think he will hear?
A. A love story
B. A strange and harrowing story
C. A story that is funny and entertaining
D. A story that is boring and he really is not interested in hearing it

Answers

Answer: B strange and harrowing story.

Step-by-step explanation: Based on the description of the stranger's face in the novel, it is likely that the captain would expect the stranger to tell a strange and harrowing story. The stranger's face is described as "wild" and "ghastly," which suggests that the story he is about to tell may be disturbing or unsettling in some way. The captain may also expect the story to be emotionally intense, given the stranger's appearance and demeanor.

is -0.3 with the line over the 3, a rational, irrational number or integer?​

Answers

Answer:

rational because the line over the three means the three repeats

decimal values that terminate or repeat are rational

Step-by-step explanation:

Timothy bought a house for $360,000. He paid 20% down, and agreed to pay $1,375.69 per month for 30 years. His payment of $1,375.69 does not include property tax and insurance. How much interest will Timothy pay in 30 years?

Answers

It's difficult to determine exactly how much interest Timothy will pay over 30 years without more information about the terms of his mortgage. However, we can use the following formula to calculate his monthly mortgage payment, which includes both the principal and the interest:

Monthly payment = P * (r/12) / (1 - (1 + r/12)^(-n))

Where:

P is the principal amount (the total cost of the house minus the down payment)

r is the monthly interest rate (we need to convert the annual interest rate to a monthly rate by dividing it by 12)

n is the number of payments (in this case, the number of months over which Timothy will pay off the mortgage, which is 30 years * 12 months/year = 360 months)

We can plug in the given values to find Timothy's monthly payment:

Monthly payment = $360,000 * (0.04/12) / (1 - (1 + 0.04/12)^(-360)) = $1,375.69

To find the total amount of interest Timothy will pay over 30 years, we would need to know the interest rate on his mortgage and the length of the loan in months. With this information, we could calculate the total amount of interest Timothy will pay by multiplying his monthly payment by the number of payments he makes (360 payments in this case) and subtracting the principal amount ($360,000).

Please help . Determine the type of triangle that is drawn below. ​

Answers

Scalene obtuse


Hope this helps, brainliest? :))
Scalene obtuse first person who answered is correct

The recipe Troy is using calls for 1 cup of cocoa. Troy added another
cup. What was the percent of change?

Answers

The percent of change can be calculated by taking the difference between the new value and the original value, divided by the original value, and then multiplying by 100 to express the result as a percentage.

In this case, the original value is 1 cup of cocoa and the new value is 2 cups of cocoa (since Troy added another cup). The difference between the two values is 1 cup.

So the percent of change would be:

(1 / 1) * 100 = 100%.

This means that the quantity of cocoa increased by 100% by adding 1 cup cocoa.

S+S+S+S AND 4S I don't know it could someone help me who knows it is it equivalent or not equivalent

Answers

Yes, the expressions S+S+S+S AND 4S as required in the task content are equivalent expressions.

Are the given expressions equivalent expressions?

It follows from the task content that the expressions given S+S+S+S AND 4S are to be compared and determine if they are equivalent or not.

Since the given expressions are; S + S + S + S and 4S.

S + S + S + S can be written by factorisation as;

S ( 1 + 1 + 1 + 1 ) = S (4)

= 4S.

On this note, it can be inferred that the two expressions given are equivalent expressions.

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Which expression represents “one half of x

Answers

the answer is x/2 goodluck

The expression which represents "one half of x" is option B. x ÷ 2.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given variable is x.

One half of x means that the variable is made in to half of the original value.

Half means numerically as 1/2.

So the half of x means the x is multiplied with 1/2.

This is equal to x/2.

This is similar to x ÷ 2.

Hence the correct option is B. x ÷ 2.

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Kaylah's cell phone has a mass of 58,000 centigrams What is the mass of her phone in grams? The mass of Kaylah's cell phone is ? grams.​

Answers

The answer is 580 grams.

If n is a two-digit number, what is the sum of the digits of 99×n?

Answers

Answer: The sum of the digits of 99 × n is 27 - 10 = 17.

Step-by-step explanation:

To find the sum of the digits of 99 × n, we can use the fact that 99 × n = 100 × n - n. The sum of the digits of 100 × n is simply n, since the hundreds digit is zero. Therefore, the sum of the digits of 99 × n is equal to the sum of the digits of n - n, which is simply zero.

For example, if n = 37, then 99 × n = 99 × 37 = 3,699. The sum of the digits of 3,699 is 3 + 6 + 9 + 9 = 27. The sum of the digits of 37 is 3 + 7 = 10. Therefore, the sum of the digits of 99 × n is 27 - 10 = 17.

Write the product of 0.4*0.4*0.4 in exponential form

Answers

Answer:

It is 6.4*10^-2.

this is your answer

Answer: 0.4^3
Hope this helps!
Reason: 0.4x0.4x0.4 is the same thing as 0.4^3 but in exponential form.
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