Manipulate the equation y=7x−12 so that it is written in terms of x . Which equation is equivalent to y=7x−12 ?

Question

A). x = (y over 12) − 7

B). x = (y over 7)+12

C). x = (y−12) over 7

D). x = (y + 12) over 7

Answer 1

To manipulate the equation \( y = 7x - 12 \) in terms of \( x \), we can follow these steps:

1. Add 12 to both sides of the equation: \[ y + 12 = 7x \]

2. Now, divide both sides by 7: \[ x = \frac{y + 12}{7} \]

This shows that the equation \( y = 7x - 12 \) can be rewritten as: \[ x = \frac{y + 12}{7} \]

Now, looking at the options provided, the equivalent equation is:

D) \( x = \frac{y + 12}{7} \)

So the correct answer is D.