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3 years ago

Help with my homework

Mathematics

1 answer:

Alexxx [7]3 years ago

8 0

Answer:

$y -2x = -8$

Step-by-step explanation:

Given:

$y = 2x -5$

Parallel lines have the same slopes in their equations. We can see the given equation of the line is written in Slope-Intercept Form with slope $2$ . So, let's just find the equation that has the same slope.

We can see that all of the linear equations given in the choices are written in Standard Form. This means that this makes it harder to know the slope. So, we have to write rewrite them in Slope-Intercept Form. However, the equation, $y -2x = -8$ is the one that has the same slope with the given linear equation. If in doubt you can rewrite the other equations in Slope-Intercept Form yourself or see the solution below.

$y -2x = -8 \\ y -2x +2x = -8 +2x \\ y = 2x -8$

To know more about the slopes of the line, you can refer to my Answers from these Questions:

brainly.com/question/24640665
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change in x = 0-(-3) = 3

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The total cost to rent 3 chairs and 2 tables is $17 . The total cost to rent 8 chairs and 4 tables is $37 . What is the cost to

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Let's make some variables to represent the cost of the tables and chairs.

Let x be equal to the cost of one chair
Let y be equal to the cost of one table

The total cost for 3 chairs and 2 tables is $17.

3x + 2y = 17

The total cost for 8 chairs and 4 tables is $37.

8x + 4y = 37

Now we have our system of equations.
Let's solve it.

3x + 2y = 17
8x + 4y = 37

We can cancel the y's very easily. Then it would just leave us with the x's.
Multiply the top equation by -2.

3x(-2) + 2y(-2) = 17(-2) =
-6x - 4y = -34

Then add the equations together.

-6x - 4y = -34
8x + 4y = 37
=
2x = 3

Then just divide both sides by 2.

x = 1.5

Substitute 1.5 into one of the equation. I'll pick 3x + 2y = 17

3(1.5) + 2y = 17 ; Start
4.5 + 2y = 17 ; Multiply 3 and 1.5 together
2y = 12.5 ; Subtract 4.5 from each side of the equation
y = 6.25 ; Divide both sides by the coefficient of y. Which 2

So, a chair costs $1.50 and a table costs $6.25.

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3 years ago

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Help with my homework ​

Help with my homework