Question

I need help solving the x and y by eliminating these equations together
2x+y=11
6x-y=5

Answer 1

add them up in a column

Answer 2

Add the equations up

notice how the 2x and 6x combine to 8x
the +y and -y add to 0y, that goes away
the 11 and 5 add to 16

Answer 3

the \(y\) terms add up to zero, leaving only the x terms \[8x=16\]

Answer 4

so you'll end up with 8x = 16 which means x = ??

Answer 5

So x is 2 right?

Answer 6

yes

Answer 7

Thanks!

Answer 8

to find y replace x by 2 in either equation

Answer 9

Ok thank you!