Question

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) Responses x=(y12)−7 x equals left parenthesis Start Fraction y over 12 End Fraction right parenthesis minus 7 x=(y−12)7 x equals Start Fraction left parenthesis y minus 12 right parenthesis over 7 End Fraction x=(y+12)7 x equals Start Fraction left parenthesis y plus 12 right parenthesis over 7 End Fraction x=(y7)+12 x equals left parenthesis Start Fraction y over 7 End Fraction right parenthesis plus 12

Answer 1

To manipulate the equation \( y = 7x - 12 \) in order to express it in terms of \( x \), we need to follow these steps:

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

2. Add \( 12 \) to both sides to isolate the term with \( x \): \[ y + 12 = 7x \]

3. Now, divide both sides by \( 7 \) to solve for \( x \): \[ x = \frac{y + 12}{7} \]

Thus, the equation that is equivalent to \( y = 7x - 12 \) in terms of \( x \) is: \[ x = \frac{(y + 12)}{7} \]

So the correct response from the options given is: \( x = \frac{(y + 12)}{7} \).