-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
