How do you work out Simultaneous equations

I'm really confused how to work it out.

I have this question ' Solve the simultaneous equations 6x+2y=-3 and 4x-3y=11. '
How would I go about working this out, please try to keep it simple so I can remember easy. Thanks :)

1) 6x + 2y = -3
2) 4x - 3y = 11
multiply eq(1) by 3, eq(2) by 2, add:
18x + 6y = -9
8x - 6y = 22
_______________
26x = 13
x = 13/26 = 1/2
using eq(1):
6(1/2) + 2y = -3
3 + 2y = -3
2y = -6
y = -6/2 = -3
check using eq(2):
4(1/2) - 3(-3) = 11
2 + 9 = 11
x = 1/2, y = -3 or (1/2, -3)

- .--

6x+2y=-3
4x-3y=11

3(6x+2y=-3)
2(4x-3y=11)

18x+ 6y=-9
8x-6y=22

26x=13 x=1/2

3+2y=-3 2y=-6 y=-3

sorry if it's so confusing.