In Exercises 46–51, evaluate each determinant.

In Exercises 37–44, use Cramer's Rule to solve each system. x + y + z = 4x - 2y + z = 7x + 3y + 2z = 4

In Exercises 37–44, use Cramer's Rule to solve each system. x + 2z = 102y - z = - 52x + 3y = 13

In Exercises 37–44, use Cramer's Rule to solve each system. x + 2z = 102y - z = - 52x + 3y = 13

In Exercises 45–48, explain why the system of equations cannot be solved using Cramer's Rule. Then use Gaussian elimination to solve the system. 2x - 3y + 2z = 42x + 3y - 2z = 62x - 9y + 6z = 2

In Exercises 45–48, explain why the system of equations cannot be solved using Cramer's Rule. Then use Gaussian elimination to solve the system. 4x - 3y - 2z = 128x - 6y - 4z = 22

Use the determinant theorems to evaluate each determinant. See Example 4.

Solve each equation. = 8

Solve each equation. = 2x