Solve for x, y, z
x=9
y=0
z=-8
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z=-2x+3y+10
Solve 2x-3y+z=10 for z.
3x-8y+2\left(-2x+3y+10\right)=11 -x+5y-3\left(-2x+3y+10\right)=15
Substitute -2x+3y+10 for z in the second and third equation.
y=-\frac{1}{2}x+\frac{9}{2} x=\frac{4}{5}y+9
Solve these equations for y and x respectively.
x=\frac{4}{5}\left(-\frac{1}{2}x+\frac{9}{2}\right)+9
Substitute -\frac{1}{2}x+\frac{9}{2} for y in the equation x=\frac{4}{5}y+9.
x=9
Solve x=\frac{4}{5}\left(-\frac{1}{2}x+\frac{9}{2}\right)+9 for x.
y=-\frac{1}{2}\times 9+\frac{9}{2}
Substitute 9 for x in the equation y=-\frac{1}{2}x+\frac{9}{2}.
y=0
Calculate y from y=-\frac{1}{2}\times 9+\frac{9}{2}.
z=-2\times 9+3\times 0+10
Substitute 0 for y and 9 for x in the equation z=-2x+3y+10.
z=-8
Calculate z from z=-2\times 9+3\times 0+10.
x=9 y=0 z=-8
The system is now solved.
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