Use the linear combination method to solve the system of equations. explain each step of your solution. if steps are not explained, you will not receive credit for that step. 2 + 9 = −26 −3 − 7 = 13

Given the system of equation:

                .....[1]

                    ......[2]

Multiply equation [1] by -3 to both sides we get;

               .....[3]

Multiply equation [2] by 2 to both sides we get;

               .....[4]

Subtract equation [4] from [3] to eliminate x  we get;

Combine like terns we get;

Divide both sides by -13 we get;

y = -4

Substitute the value of y in equation [1] we get;

Add 36 to both sides we get;

2x = 10

Divide both sides by 2 we get;

x = 5

Therefore, the solution for the system of equation is (5, -4)