Question

what is the value of the y variable in the soution to the following system of equations? 3x+y=14 -3x+27=1

Answer 1

3x + y = 14
-3x + 27 = 1
--------------add

wait....is there supposed to be a y term in the 2nd equation ? Is it 27y ??

Answer 2

sorry the second equation is -3x+2y=1

Answer 3

3x + y = 14
-3x + 2y = 1
------------add
3y = 15 --- divide by 3
y = 15/3
y = 5

any questions ?

Answer 4

you see that when adding the equations, the x terms cancel each other out. Leaving you to just solve for y