Solve the following system of equations: −2x + 3y = 7 y = 3x + 7 (−5, −1) (−2, 1) (−1, 4) (1, 3)

Answers

Answer 1

Answer:

(-2, 1)

Step-by-step explanation:

−2x + 3y = 7

y = 3x + 7

Since the second equation is already solved for y, we can use the substitution method. Substitute y of the first equation with 3x + 7 and solve for x.

-2x + 3y = 7

-2x + 3(3x + 7) = 7

-2x + 9x + 21 = 7

7x = -14

x = -2

Now substitute x in the second equation with -2 and solve for y.

y = 3x + 7

y = 3(-2) + 7

y = 1

Answer: (-2, 1)


Related Questions

ILLL GIVE YOU SO MANY POINTS (50 IF YOU ANSWER CORRECTLY AND MARK YOU BRAINLIEST BUT IF YOU DONT I WILL FLAG YOU
What is the probability that a point chosen at random in the given figure will be inside the larger triangle and outside the smaller triangle? Enter your answer, as a fraction in simplest form, in the box. P(inside larger triangle and outside smaller triangle) =

Answers

Answer:

Given:

Area of a triangle = (h*b) / 2

Area of smaller triangle = (4cm * 4cm) / 2 = 16cm² / 2 = 8 cm²

Area of larger triangle = (6cm * 10cm) / 2 = 60cm² / 2 = 30 cm²

30cm² - 8cm² = 22cm²

Probability that the point is inside the large triangle but outside the small triangle:

22cm² / 30cm² → 11/15 → 0.73 or 73%

Answer:

answering so you can give the other person brainiest! :0

Step-by-step explanation:

thanks for the points!

help.pls it is urgent. ​

Answers

Answer:

b=50

c=28

a=16

Step-by-step explanation:

i need help with this please

Answers

1/6≈ 16% , I think that’s right

Carlos saves aluminum cans to sell to the recycling center. He recently recycled 43 pounds of cans and received $23. 65. How many dollars would he get at this rate for recycling 200 pounds of cans?

Answers

The rate of recycling 200 pounds of cans based on the mentioned information is $110.

Firstly calculating the cost of cans per pounds. Then we will proceed to actual calculation about rate of recycling 200 pounds.

Cost of recycling one pound of can = total cost ÷ number of recycled cans

Keep the values in formula

Cost of recycling one pound of can = 23.65/43

Performing division

Cost of recycling one pound of can = 0.55

Cost of recycling 200 pounds of cans = 0.55 × 200

Performing multiplication

Cost of recycling 200 pounds of cans = 110

Therefore, the required rate is $110.

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The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth. A) 971.7 cm3 B) 1072.3 cm3 C) 1137.4 cm3 D) 2143.6 cm3

Answers

Answer:

A

Step-by-step explanation:

Find the volume of the prism

Answers

Answer:

5040

Step-by-step explanation:

You roll a six-sided number cube and flip a coin.What is the probality of rolling a number less than 2 and flipping heads

Answers

Answer:

1 / 12

Step-by-step explanation:

A six - sided coin :

Sample space = (1, 2, 3, 4, 5, 6)

Flipping a number less Than 2

Required outcome = (1)

P(number less Than 2) = required outcome / sole space = 1 / 6

Flipping a head from a coin toss :

Sample space = (H, T)

P(head) = 1 /2

P(number less Than 2 and flipping head) :

= 1/2 * 1 /6

= 1 / 12

Find the product: 0.054 x 0.3 = ? OA. 0.162 ( B. 0.62. O c. 0.0162 O D. 0.00162​

Answers

the answer would be. cute

Answer:

0.0162 is the answer.

Step-by-step explanation:

Finding the product in math means multiplication.

0.054 x 0.3 = 0.0162

What ordered pair is a solution to 5x -6y = -4

A. (3,-3)
B. (3,3)
C. (4,4)

Answers

Answer:

(4,4)

Step-by-step explanation:

5(4)-6(4)=-4

20-24=-4

-4=-4

Arturo has 9 cups of dog food he gives his dog 1/3 cup of food at each meal how many meals does Arturo have for his dog

Answers

Answer:

27 meals

Step-by-step explanation:

Divide 9 cups by (1/3 cup per meal):

    9 cups              9       3

--------------------- = ----- * ----- meals = 27 meals

1/3 cup / meal       1       1

Recall that division by a fraction is equivalent to multiplying by the reciprocal of that fraction:   Division by 1/3 is equivalent to multiplying by 3/1.

Unit 5: Systems of Equations & Inequalities
Homework 3: Solving Systems by Elimination (Day 1)

Answers

Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:

=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1

Equation: What is it?

A mathematical equation is a formula that joins two statements with the equal sign, or =, to express equality. All mathematical formulas, including equations, have an equal sign. Algebra is frequently utilized in equations. Algebra is used in mathematics when we don't know the exact quantity to compute. A mathematical statement demonstrating the equality of two mathematical expressions is the definition of an equation in algebra. For instance, the variables 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14.

Here,

Any equation can be changed to intercept form by dividing by the constant on the right:

=> x/3 + y/3 =1

=> x/1.2 + y/(-1) = 1

These inform you that only graph A is appropriate because the x- and y-intercepts of the first equation are 3 in this case. Given that it has an x-intercept of 1.2 and a y-intercept of -1, the second equation also matches with graph A.

Therefore , By dividing by the constant shown to the right, you can change any equation into intercept form:

=> x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1

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Practice
Example 1
Use the graphs to determine the number of solutions the system
has. Then state whether the system of equations is consistent or
inconsistent and if it is independent or dependent.
1. y=x-1
y = -x + 1
3. y = x + 4
2x - 2y = 2
5. y = 0.5x
y=x+2
7. 2x - 2y = -4
-10x - 5y = 15
2. x-y=-4
y=x+4
4. y=2x-3
2x - 2y = 2
6. 4x+6y=12
2x + 3y = 6
8. 2x + 3y = 10
4x + 6y = 12
Period
GO Practice Spiral Review Extra Practice
Examples 2 and 3
Graph each system and determine the nu
.
2x+3y=6
y=x+4
x-y=-4
A
y=x-1
y=2x-3
2x+3y=10
y=x+2
Date
2x-2y=-4
.
2x-2y=2
y=-x+
y=0.5x
4x+6y=12
-10x-5y=15

Answers

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

what is solution ?

a value or set of values that, when used as a stand-in for one or more equation's variables, cause the equation to be true. a strategy or approach for resolving a problem, such as the solutions to the equation x2 = 4 being 2 and -2. a description of a resolution. to be more precise: a group of variable values that satisfy an equation.  The equation 3(2)+5=11 states that 6+5=11 is accurate. So, the solution is 2.

given

y = 3x + 1

y = 3x + 1

The two equations are independent and consistent since they cross at a single precise location.

y = 3x + 1

y = x + 3

The two equations are independent and consistent since they cross at a single precise location.

y = x + 3

These two equations are incompatible because they do not intersect.

y = x + 3

To identify which line it is, rearrange the first equation into slope-intercept form.

Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.

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Alex rents a car for one day . The charge is $18 plus $0.12 per mile. Alex wants to spend exactly $30 . How many miles can he drive?

Answers

Answer:

He can drive 100 Miles

Step-by-step explanation:

$30-$18 is what we can spend on milage

$12/0.12=100

Hope this helps! If it did, can you mark me as Brainliest please?

(a) Write an inequality for which 3, -4, 0, and 2,300 are solutions

(b) How many total solutions are there to your inequality?
(hurry)

Answers

The inequality be -4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

If x is an integer number, we have 2,305 solutions.

What is meant by inequality?

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

Let the given data be 3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}

Let the inequality be -4 ≤ x ≤ 2,300

The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.

Here x exists a real number, then we contain infinite solutions.

If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)

the number zero (1)

We would have: 4 + 2,300 + 1 = 2,305 integer solutions.

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The inequality be -4 ≤ x ≤ 2,300

If x is a real number, we have infinite solutions.

If x is an integer number, we have 2,305 solutions.

What is meant by inequality?

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality in mathematics. On the number line, it is most frequently used to compare the sizes of two numbers.

The term "inequality" in mathematics refers to a relationship between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus.

Let the given data be 3, -4, 0, and 2,300 are solutions.

If we order these numbers from smallest to largest, we get: {-4, 0, 3, 2,300}

Let the inequality be -4 ≤ x ≤ 2,300

The four values in the set {-4, 0, 3, 2,300} exists solutions for our inequality.

Here x exists a real number, then we contain infinite solutions.

If x exists an integer, then the total number of solutions will be equivalent to the number of negative solutions (4) and number of positive solutions (2,300)

the number zero (1)

We would have: 4 + 2,300 + 1 = 2,305 integer solutions.

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What is the degree of this polynomial? y=5x^2 + 3x^6 -10x-8

Answers

Answer:  6

Reason: The degree is the largest exponent.

This rule only works when dealing with single variable polynomials.

The standard form is y = 3x^6+5x^2-10x-8; where the largest exponent term goes first, then the next largest, and so on.

A taxicab company charges $2.30 plus $0.80 per mile. Carmen paid a fare of $11.90. Enter and solve an equation to find the number of miles she traveled. Use m as your variable.

Answers

The number of miles the taxicab traveled is 12.

The area of mathematics known as algebra aids in the representation of circumstances or problems into mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.

Given that,

The fixed charges = $ 2.30

Additional charges per miles = $ 0.80,

Thus, the additional charges for x number of miles = $ 0.80x

So, the total charges for x number of miles = Fixed charges + additional charges

=> 2.30 + 0.80x

According to the question,

2.30 + 0.80x = 11.90 (this is the required equation)

Subtracting 2.30 from both sides,

0.80x = 9.6

Dividing both sides by 0.80

x = 12

Hence, the taxicab traveled 12 miles.

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What is the secret calculator app?

Answers

The secret calculator app is used to protect confidential Photos, Videos, Documents, Passwords, Notes, Contacts and To Dos.

The term calculator is referred as a device that performs arithmetic operations on numbers and it does the basic calculators can do only addition, subtraction, multiplication and division mathematical calculations.

Here we need to find definition and the usage of secret calculator app.

As per the definition of calculator here we know that the app is used to acts like a photo vault to store all password protected files, and can only be viewed inside the app.

As the user who is unaware of this app you will never expect a simple calculator looking app is used to hide files.

Here if you want to access this you will need the password to open the photos from your child.

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subtract: 4x/x^2-25 - 2/x^2+2x-15
a. 4x^2-14x+10/(x+5)(x-3)
b. 4x^2-14x-10/(x-5)(x+5)(x-3)
c. 4x^2-14x-10/(x-5)^2(x-3)
d. 4x^2-14x-10/(x-5)(x+5)(x-3)

Answers

Answer: [tex]\dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]

Step-by-step explanation:

Given

Subtract the expression

[tex]\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]

The volume of a right circular cylinder is represented by V = πr ²h
where r is the radius of the base (in feet). What is the radius of a right
circular cylinder when the volume is 144 π cubic feet and the height
is 9 feet?

Answers

The radius is 4 feet.

Plug in what you know to the formula you have:

144π = π(r)^2(9)
Divide both sides by pi to get rid of that.
144 = 9(r)^2
Divide both sides by 9
16 = r^2
r = square root of 16 = 4

What is the y-intercept of y= -3x + 6

Answers

It’s 6, because this equation is written in slope-intercept (y = Mx + b) in which b represents the y-intercept.

The linear factors of the cubic are .

Answers

Answer:

(x-2)(x - 3)(x - 5)

(x - 2)(x-3)(x - 5)(x + 5)

(x + 2)(x + 3)(x + 5)

(x + 2)(x+3)(x - 5)

Answer:

first option

Step-by-step explanation:

(x-2)(x-3)(x-5)

A person purchased an ounce of gold for $250 in January of 2000. The value of the
gold increased by 23% over the next 10 years. What is the growth factor?
1.35
0.75
0.23
0.64

Answers

0.64 is the answer to this question

i need help ASAP!!!!! this is graded and plzzzzz no links!!!!!!!!

Answers

Answer:

The formula of a trapezoid is:

B1(base 1) + B2(base 2) x H(height) x 1/2 (basically just dividing by 2)

In this case 9 and 3 are your bases so add them together to get 12.

Now we multiply 12 to the height! 12 x 3(height) = 36. Now we multiply 36 to 1/2 which is just dividing by 2, so 36 divided by 2 = 18

I already got the answers for these but I wanted to check them. I’m supposed to find the area and use 3.14 for pi. Thanks.

Answers

Answer:

10.

A = 12² - 2(6×5)

A = 144 - 2×30

A = 144 - 60

A = 84 in²

11.

A = π(12/2)² - (π3² + 3×6)

A = π36 - (π9 + 18)

A = π36 - (π3² + 18)

A = 113.04 - (28.26 + 18)

A = 66.8 yd²

12.

A = 9² - (10×2 + π3²)

A = 81 - (20 + 28.26)

A = 81 - 48.26

A = 32.7 m²

Solve the inequality n - 4/7> - 2/3

Answers

Answer:

N > -2/21

Step-by-step explanation:

Move -4/7 to the other side

n - 4/7 > - 2/3

n > - 2/3 + 4/7

Find a common denominator

n > - 14/21 + 12/21

Add

n > - 2/21

It’s my final I need help!!!

Answers

Answer:

m=28g

Step-by-step explanation:

560/20=28.4

it goes 28.4 miles per gallon so m=28g

C. m=28g
the car’s tank can carry 28 gallons of gas per mile

What is the volume of this prism?

Answers

Answer:

17

Step-by-step explanation:

length*width*height=volume

5 * 2 * 1.7= 17

Given that ABC is a straight angle, if ABD measures 75°, then DBC
measures ____°.

Answers

Answer: 105

Step-by-step explanation: ABC is an 180 degree angle, and the ABD is 75, so 180-75 is 105!

What decimal is equivalent to - 3 1/8?

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{-3 \dfrac{1}{8}}\\\\\mathsf{= - \dfrac{23}{8}}\\\\\mathsf{-23\div8 }\\\\\mathsf{= \bf -2.875}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf -2.875}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A bag contains colored tiles.
.
3 tiles are red
6 tiles are green
3 tiles are blue
.
A tile will be randomly selected from the bag. What is the probability in decimal form that the
tile selected will be green?
0.05
5.0
0.50
0.55

Answers

Answer:

0.50

Step-by-step explanation:

3+3+6=12

6 is half of 12

50% in decimal form is .50

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