Hi
Solving the system of two linear equations by elimination
12x -14y = -8
-8x -14y = 52
12x -14y = -8
8x + 14y = -52 |subtracting 2nd from 1st equation to eliminate y
20x = -60
x = -3
solving for y by substituting x = -3
12x -14y = -8
-36 - 14y = -8
-28 = 14y
y = -2
CHECKING our Answer***
-36 - (-28) = -8 |1st equation
24 + 28 = 52 |2nd equation