Question

Solve the system for x, y, and z:

4x-2y+6z=10
x+3y+z=16
5y-z=19​

Answer 1

x=3

y=4

z=1

Explanation:

4x-2y+6z=10

-(4x+12y+4z=64)

= -14y+2z=-54

= -7y+z=-27

-7y+z=-27

+(5y-z=19​)

= -2y=-8

y=4

5(4)-z=19

20-z=19

z=1

x+12+1=16

x=3