# Linear algebra problem

Please solve this linear algebra problem for x, y and z.
Please show all of the steps.

51x + 8y + 37z = 22
99x + 27y + 44z = 83
102x + 96y + 158z = 1096

Let's solve this system of linear equations:

We can solve the system of equations using elimination.

Steps to solve:

1. Eliminate y: Multiply the top equation by -3 and the second equation by 4. Add the top and bottom equations.

2. Eliminate z: Multiply the top equation by -1. Add the top and bottom equations.

3. Substitute x back into the top equation:

4. Eliminate y: Multiply the top equation by 19.

5. Substitute z back into the top equation:

6. Substitute x and y back into the top equation:

This article was updated on February 10, 2024

### Rex Djere

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