How to solve 3 variable systems

Question

Mathematics

Vanessa Parsons

8 May, 03:25

How to solve 3 variable systems

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Anton Rowe · Answer 1

Pick two pairs: 4x - 3y + z = - 10. 2x + y + 3z = 0 ... Eliminate the same variable from each system: 4x - 3y + z = - 10. 2x + y + 3z = 0 ... Solve the system of the two new equations: - 5y - 5z = - 10. 5y - 7z = 34 ... Substitute into one of the original equations: - x + 2y - 5z = 17 ... Check: Does 2 (1) + 4 + 3 ( - 2) = 0? Yes.