Solve for x, y, z
x=13
y=-6
z=2
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x=-2y-3z+7
Solve x+2y+3z=7 for x.
2\left(-2y-3z+7\right)+4y+5z=12 3\left(-2y-3z+7\right)+7y+8z=13
Substitute -2y-3z+7 for x in the second and third equation.
z=2 y=z-8
Solve these equations for z and y respectively.
y=2-8
Substitute 2 for z in the equation y=z-8.
y=-6
Calculate y from y=2-8.
x=-2\left(-6\right)-3\times 2+7
Substitute 2 for z and -6 for y in the equation x=-2y-3z+7.
x=13
Calculate x from x=-2\left(-6\right)-3\times 2+7.
x=13 y=-6 z=2
The system is now solved.
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