Question

6x + 3y = 12 6x - 5y = 60

Answer 1

$6x + 3y = 12\\ 6x - 5y = 60\\\\ 6x + 3y = 12\\ -6x + 5y = -60\\ --------\\ 8y=-48\\ y=-6\\\\ 6x+3\cdot(-6)=12\\ 6x-18=12\\ 6x=30\\ x=5$

Answer 2

6x+3y=12. so... 6x=12-3y.

6x-5y=60, so... 6x=60+5y

As 6x=6x

12-3y=60+5y

12-60=8y

8y=-48

So y=-48/8=-6

When y=-6,

6x-5(-6)=60

6x+30=60

6x=30

Therefore x=5.

So x=5 and y=-6.