15x+3y=33 what is y?

2 Answers
Apr 27, 2018

#y=-5x+11#

Explanation:

Since there are 2 variables, we cannot solve for #y# and get a definite number, but we can isolate #y# and solve for it in terms of #x#:

#15x+3y=33#

#3y=33-15x#

#y=11-5x#

#y=-5x+11#

Apr 27, 2018

#y = 11 - 5x#

Explanation:

#15x + 3y = 33#

To find #y#, we have to make #y# alone. To do so, let's put everything else on the other side of the equation.

First, subtract #color(red)(15x)# from both sides of the equation:
#15x + 3y quadcolor(red)(-quad15x) = 33 quadcolor(red)(-quad15x)#

#3y = 33 - 15x#

Now divide both sides by #3# to get #y# by itself:
#(3y)/color(red)(3) = (33-15x)/color(red)(3)#

Therefore:
#y = (33-15x)/3#

This can still be simplified since both #33# and #-15x# are divisible by #3#. So the final answer is:
#y = 11 - 5x#

Hope this helps!