Solve for x, y, z
x=11
y=13
z=17
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z=-2x+3y
Solve 2x-3y+z=0 for z.
5x+y-4\left(-2x+3y\right)=0 3x+2y+3\left(-2x+3y\right)=110
Substitute -2x+3y for z in the second and third equation.
y=\frac{13}{11}x x=-\frac{110}{3}+\frac{11}{3}y
Solve these equations for y and x respectively.
x=-\frac{110}{3}+\frac{11}{3}\times \frac{13}{11}x
Substitute \frac{13}{11}x for y in the equation x=-\frac{110}{3}+\frac{11}{3}y.
x=11
Solve x=-\frac{110}{3}+\frac{11}{3}\times \frac{13}{11}x for x.
y=\frac{13}{11}\times 11
Substitute 11 for x in the equation y=\frac{13}{11}x.
y=13
Calculate y from y=\frac{13}{11}\times 11.
z=-2\times 11+3\times 13
Substitute 13 for y and 11 for x in the equation z=-2x+3y.
z=17
Calculate z from z=-2\times 11+3\times 13.
x=11 y=13 z=17
The system is now solved.
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