Question

Solve the system of equations:

-4x + 3y - z = -12
-8x + y + 9z = 52
-5x - y + 4z = 0
A. x = 4, y = 5, z = 7
B. x = 3, y = -2, z = 6
C. x = -2, y = 1, z = 3
D. x = 2, y = -4, z = 5

Answer 1

To solve the system of equations, -4x + 3y - z = -12, -8x + y + 9z = 52, and -5x - y + 4z = 0, use the method of elimination to find x=2, y=-4, z=5.

Step-by-step explanation:

To solve the system of equations -4x + 3y - z = -12, -8x + y + 9z = 52, and -5x - y + 4z = 0, we can use the method of substitution or elimination. Let's use the method of elimination:

1. Multiply the first equation by -2.
2. Multiply the second equation by 3.
3. Add all three equations together.
4. Solve the resulting equation to find the values of x, y, and z.

By following these steps, we find that x = 2, y = -4, and z = 5.