Manipulate the equation y=7x−12 so that it is written in terms of x . Which equation is equivalent to y=7x−12 ?(1 point)

Question

Responses

x=(y7)+12
x equals left parenthesis Start Fraction y over 7 End Fraction right parenthesis plus 12

x=(y+12)7
x equals Start Fraction left parenthesis y plus 12 right parenthesis over 7 End Fraction

x=(y12)−7
x equals left parenthesis Start Fraction y over 12 End Fraction right parenthesis minus 7

x=(y−12)7

Answer 1

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

1. Start with the original equation: \[ y = 7x - 12 \]

2. Add 12 to both sides: \[ y + 12 = 7x \]

3. Divide both sides by 7: \[ x = \frac{y + 12}{7} \]

So the equivalent equation is: \[ x = \frac{y + 12}{7} \]

From the options you provided, the correct response is: \[ x = \frac{(y + 12)}{7} \]