4x-3y+6z=18,-x+5y+4z=48,6x-2y+5z=0 what are x, y, and z?

-1x+5y+4z=48

4x-3y+6z=18

6x-2y+5z=0

multiply the first equation by 4 and add the results to the second equation:

-1x+5y+4z=48

17y+22z=210

6x-2y+5z=0

multiply the first equation by 6 and add the results to the third equation:

-1x+5y+4z=48

17y+22z=210

28y+29z=288

multiply the second equation by - 28/17 and add the result to the third equation:

-1x+5y+4z=48

17y+22z=210

-123/17z=-984/17

solve for z

-123/17z=-984/17

z=8

then solve for y

17y+22z=210

17y+22*8=210

y=2

solve for x substituting y=2 and z=8 into the first equation:

4x-3 (2) + 6 (8) = 18

x=-6

so the solutions are x=-6, y=2, z=8