### Home > A2C > Chapter 7 > Lesson 7.1.4 > Problem 7-50

Use the algebraic **strategies** you developed in today's lesson 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 2 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*.