solve by the elimination method

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

1 answer

first one times 6
6x + 6y = -12
4x - 6y = -3
add them
10x = -15
x = -15/10 = -3/2

sub into the 1st
-3/2 + y = -2
y = 3/2 - 2 = -1/2

x = -3/2 , y = -1/2