5x + 2y = 4 ...(1)
6x - 3y = -7 ...(2)
Multiply all terms in (1) by 3 and all terms in (2) by 2. This will make the y terms the same in both equations.
15x + 6y = 12 ...(3)
12x - 6y = -14 ...(4)
Now add (3) and (4) term by term to get:
27x = -2
x = -2/27
Put this back into (1)
5*(-2/27) + 2y = 4
Multiply by 27
-10 + 54y = 108
54y = 118
y = 118/54 or y = 59/27
5x + 2y = 4 ...(1)
6x - 3y = -7 ...(2)
Multiply all terms in (1) by 3 and all terms in (2) by 2. This will make the y terms the same in both equations.
15x + 6y = 12 ...(3)
12x - 6y = -14 ...(4)
Now add (3) and (4) term by term to get:
27x = -2
x = -2/27
Put this back into (1)
5*(-2/27) + 2y = 4
Multiply by 27
-10 + 54y = 108
54y = 118
y = 118/54 or y = 59/27