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

2x - 3y = 13

x + 2y = - 4

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

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)