Question

Linear Combination (Show all work and write steps.)

2x - 3y = 13

x + 2y = -4

Answer 1

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)