2x + 5y = 12

-2x + 3y = 4

In elimination method

So just add equation 1 and equation 2

You will get

2x-2x + 5y + 3y = 12 + 4

8y = 16

y = 16/8

y = 2

Substituting y in equation 1

2x + 5*2 = 12

2x + 10 = 12

2x = 12 - 10

x = 2/2

x = 1

=