Linear Combination (Show all work and write steps.)

2x - 3y = 13

x + 2y = - 4

2x-3y=13 Equation 1

x+2y=-4 Equation 2

Solving by substitution method.

Isolate x from equation 2.

x=-2y-4

Substitute value of x in equation 1.

2 (-2y-4) - 3y=13

-4y-8-3y=13

-7y-8=13

-7y=21

y=-3

Now substitute value of y in x=-2y-4

x=-2 (-3) - 4

x=6-4

x=2

Answer: (x, y) = (2,-3)