How do you solve for y in #3x + y = -6#?

2 Answers
May 4, 2016

Answer:

#y=-3x-6#

Explanation:

The objective is to have just one #y# and for it to be on one side of = and everything else on the other side.

Given:#" "color(brown)(3x+y=-6)#

Subtract #color(blue)(3x)# from both sides

#color(brown)(3xcolor(blue)(-3x)+y=-6color(blue)(-3x))#

But #3x-3x=0#

#0+y=-3x=6#

#y=-3x-6#

May 4, 2016

Answer:

y = -6 - 3x

Explanation:

We want the y term to stay where it is on the left side and all other terms to be on the right side.

To achieve this subtract 3x from both sides.

#rArr cancel(3x)+y-cancel(3x)=-6-3x#

#rArr y=-6-3x#