Question

For each of the equations below, solve for y in terms of x. ! a. 2x – 3y = 12

Answer 1

Answer:

$\large\boxed{y=\dfrac{2}{3}x-4}$

Step-by-step explanation:

$2x-3y=12\qquad\text{subtract}\ 2x\ \text{from both sides}\\\\2x-2x-3y=12-2x\\\\-3y=12-2x\qquad\text{divide both sides by (-3)}\\\\\dfrac{-3y}{-3}=\dfrac{12}{-3}+\dfrac{-2x}{-3}\\\\y=-4+\dfrac{2}{3}x$