Question

2. Use the linear combination method to solve the system of equations. Explain each step of your solution.

2x - 3y = 13
x + 2y = -4

Answer 1

2x -3y = 13

4x -y = -9

4x -y = -9 x -3 = -12x + 3y = 27

2x -12x = -10x

-3y +3y = 0

13 +27 = 40

-10x = 40

Divide each side by -10

x = 40 / -10

x = -4

Solve for y

2(-4) - 3y = 13

-8 - 3y = 13

Add 8 to both sides

-3y = 21

Divide both sides by -3

y = 21/-3

y = -7

(-4,-7)

Answer 2

2x + x=3x
-3y+2y=-y
13-4=9
3x-y=9
you add like terms
subtract like terms
and subtract like terms
then make a system of equations