Question

3x+2y-z=-16 3x+y-2z=-8 -2x+3y-2z=18 no solution one solftrion infinitely many solutions.

Answer 1

The given system of equations can be solved using the elimination method. After solving, we find that there is one solution for the given system of equations: x = -2, y = 3, and z = -1.

Step-by-step explanation:

The given system of equations:

3x+2y-z=-16

3x+y-2z=-8

-2x+3y-2z=18

can be solved using various methods such as substitution, elimination, or matrix operations. We'll use the elimination method:

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

After solving, we find that there is one solution for the given system of equations: x = -2, y = 3, and z = -1.