Question

Which equation is equivalent to y=2/3x-6

A. 2x+3y=-6
B.3x-2y=6
C.3x-2y=12
D.2x-3y=18

Answer 1

D. 2x-3y=18

Explanation:

1. multiply both sides by 3 to get rid of the fraction

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

2. That gives 3y=2x-18

3. subtract 2x on both sides

3y=2x-18

-2x = -2x

3. that gives -2x+3y=-18

4. then multiply by -1 to make 2x positive

-1(-2x+3y=-18)

5. and that gives 2x-3y=18