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

1 answer

To manipulate the equation \( y = 7x - 12 \) in order to express \( x \) in terms of \( y \), 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. Next, divide both sides by 7 to solve for \( x \): \[ x = \frac{y + 12}{7} \]

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