Solve the system for each variable, and check your solutions.

Question

x + y + z = 6 and 2x – y + z = 3 and x + 2y – 3z = -4

Answer 1

Hi,

x + y + z = 6 I

2x – y + z = 3 II

x + 2y – 3z = -4 III

First, eliminate y between two equations I and II then you will have 3x + 2z = 9 IV

Second, eliminate y between two equations I and III then you will have -x - 5 z = -16 V

Third, solve system between IV and V by eliminating x or z ( up to you) I eliminated x then z = 3

Forth, plug in z = 3 to the V find x = 1

Last part, use one of original given equation by plugin x= 1, z = 3 and find y = 2

I hope it was useful,

Minoo