Solve for x, y, z
x=1
y=-1
z=1
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y=-20x+2z+17
Solve 20x+y-2z=17 for y.
3x+20\left(-20x+2z+17\right)-z=-18 2x-3\left(-20x+2z+17\right)+20z=25
Substitute -20x+2z+17 for y in the second and third equation.
x=\frac{39}{397}z+\frac{358}{397} z=\frac{38}{7}-\frac{31}{7}x
Solve these equations for x and z respectively.
z=\frac{38}{7}-\frac{31}{7}\left(\frac{39}{397}z+\frac{358}{397}\right)
Substitute \frac{39}{397}z+\frac{358}{397} for x in the equation z=\frac{38}{7}-\frac{31}{7}x.
z=1
Solve z=\frac{38}{7}-\frac{31}{7}\left(\frac{39}{397}z+\frac{358}{397}\right) for z.
x=\frac{39}{397}\times 1+\frac{358}{397}
Substitute 1 for z in the equation x=\frac{39}{397}z+\frac{358}{397}.
x=1
Calculate x from x=\frac{39}{397}\times 1+\frac{358}{397}.
y=-20+2\times 1+17
Substitute 1 for x and 1 for z in the equation y=-20x+2z+17.
y=-1
Calculate y from y=-20+2\times 1+17.
x=1 y=-1 z=1
The system is now solved.
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