Use elimination to solve the system of equations

Question

Use elimination to solve the system of equations:

 

2x+y+3z= 2

 

x+y-z= 5

 

4x-y+2z= -1

Answer 1

x+4z = -3 after subtracting 2nd from 1st equation

5x +z = 4 after adding last 2 equations

multiply last equation above by 4 and subtract 1st equation above to get

19x =19 divide by 19

x = 1

z = 4-5 = -1

y=3