4x-3y = - 9

3x+2y = - 11

Solve the system of equations.

x = - 3

y = - 1

Step-by-step explanation:

Use elimination method-

Method where you eliminate one variable and find the value of the other.

Eliminate x-

1. Want to completely remove the x variable so you multiply 4 and 3 to a common gcf and you multiply one equation with a negative number.

-3 (4x - 3y = - 9)

4 (3x + 2y = - 11)

Multiply each term

-12x + 9y = 27

12x + 8y = - 44

17y = - 17

Get rid of 17

y = - 1

Substitute - 1 into the equation and solve for x

4x - 3 (-1) = - 9

4x + 3 = - 9

4x = - 12

x = - 3

Final answers:

y = - 1

x = - 3