Question

7. The value of x varies directly with y, and

when x = 5, y = 12. Write an equation to
represent the direct variation.

Answer 1

Explanation:

-7

Answer 2

`x = y - 7`

Explanation:

1. Create an equation

Concept :

If x = 5, then subtracting 5 from both sides gives you x - 5 = 0. Do this to both variables

If x - 5 = 0 and y - 12 = 0, those two statements equal the same thing. So

`x - 5 = y - 12`

2. Add 5 to both sides to isolate variable X

`x = y - 7`

3. (Optional) Plug given values into new equation to check answers

`(5) = (12) - 7`

5 = 5 is a true statement