### Home > INT3 > Chapter 12 > Lesson 12.1.1 > Problem 12-10

12-10.

Use the algebraic strategies you have developed to solve the system of equations below. Be sure to check your solution. Homework Help ✎

2

*x*+*y*– 3*z*= –12

5*x*–*y*+*z*= 11

*x*+ 3*y*– 2*z*= –13

Choose a pair of equations that can be added together to eliminate a variable.

Choose a different pair of equations to add together to eliminate the same variable.

In this case, you will have to multiply each equation by a constant.

Solve the system of equations you created in steps 1 and 2 for either *x* or *z*.

Solve for *x* using the two-variable equation you created in either step 1 or step 2.

Then substitute the values for *x* and *z* into one of the original equations to solve for *y*.

Check your solution in a different equation than the one you used to solve for *y*.