Solve for x y and z from Use any method x2y3z 7 2xyz 4 3x2y

Solve for x, y and z from (Use any method) x-2y+3z =7 2x+y+z = 4 -3x+2y-2z = -10

x-2y+3z=7

2x + y+z=4

-3x +2y-2z=-10

Adding first and third equation

x-2y+3z -3x +2y -2z=7-10

-2x +z=-3

Multiply second by 2 and add it to equation first, we get

x-2y+3z +4x +2y+2z=7+8

5x+5z=15

x + z=3

-2x +z=-3

subtracting both equations, we get

3x=6

x=2

-4+z=-3

z=1

2x + y +z=4

4 + y+1=4

y=-1