How to find intersection of 2 lines of this equation?

Question

2x+3y=13 and 6x-2y=-5.

Answer 1

2x+3y=13 multiply the equation by 2
4x + 6y = 26 ------------ (1)

6x-2y=-5 multiply the equation by 3
18x - 6y = -15 ----------- (2)

add equations 1 and 2
4x + 6y = 26
18x - 6y = -15
------------------
22x = 11
x = 11/22 = 1/2

substitute x = 1/2 in 2x+3y=13
2 * 1/2 + 3y = 13
3y = 13 -1 =12
y = 4

(x, y) = (1/2, 4)