How to solve the equation 3x - 2y = 6 for y in terms of x

Mathematics · Middle School · Sun Jan 24 2021

Answered on

Given the equation:

3x - 2y = 6

Solve for y in terms of x.

Solution:

In order to solve for y in terms of x, we simply transpose -2y and 6  on their opposite sides of the equation, hence we must take note that in transposing a number, the sign changes.

3x -  2y = 6

2y = 3x - 6

Divide both sides by 2 in order to cancel out 2y, leaving behind y.

2y/2 = (3x - 6)/2

y = 3/2x - 3

Final answer:

y = 3/2x - 3