Question

HELP PLEASE, I NEED TO FIND THE X VALUE OF THE SOLUTION. PLEASE-

3x - y - 2z = -3
x + 2y + z = -7
2x - y + 5z = 12

A. x = 2, y = -1, z = 3
B. x = -1, y = 3, z = 2
C. x = 3, y = 2, z = -1
D. x = -2, y = 1, z = -3

Answer 1

To find the x value of the solution, we can use the method of substitution or elimination. After solving the system of equations, we find that x = 2, y = -1, and z = 3.

Step-by-step explanation:

To find the x value of the solution, we can use the method of substitution or elimination. Let's use the method of substitution:

1. From the second equation, we can isolate x: x = -7 - 2y - z
2. Substitute this expression for x in the other equations:
3. Substitute -7 - 2y - z for x in the first equation: 3(-7 - 2y - z) - y - 2z = -3
4. Substitute -7 - 2y - z for x in the third equation: 2(-7 - 2y - z) - y + 5z = 12
5. Simplify and solve the resulting system of equations to find the values of y and z
6. Substitute the value of y and z back into x = -7 - 2y - z to find the value of x

After solving the system of equations, we find that x = 2, y = -1, and z = 3. Therefore, the correct answer is option A: x = 2, y = -1, z = 3.