Question

Which is the equation of the same line as y=3x-8?

A. 3x-2y=8 B. -3x-2y=-8
C. 6x-y=16 D. 6x-2y=16

Thanks!

Answer 1

D. 6x-2y=16

Explanation:

Start by moving x and y to the same time...

Subtract 3x from both sides:

y-3x=3x-3x-8

y-3x=-8

Then, multiply both sides by -2 (Note this is for the purpose of obtaining the equation in Standard Form, which is Ax+By=C. In this case, we are trying to make A positive):

-2(y-3x)=-2(-8)

-2(y)-2(-3x)=16

-2y+6x=16

D. 6x-2y=16