7. Solve this equation for y: 7y=12x

Question

(1 point)
Responses

y=712x
y is equal to 7 over 12 x

y=12x−7
y is equal to 12 x minus 7

y=12x+7
y is equal to 12 x plus 7

y=127x

Answer 1

To solve the equation \( 7y = 12x \) for \( y \), follow these steps:

1. Divide both sides of the equation by \( 7 \):

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

This can also be written as:

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

So, the correct response is:

y is equal to \(\frac{12}{7}\) x.

(Note: This option isn't directly listed but it is equivalent to the first option, \( y = \frac{12}{7} x \), which can sometimes be incorrectly formatted in a response.)