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

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 months ago

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:
\[
x = \frac{y + 12}{7}
\]