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Solve for x, y, z
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z=x+y-135 96x+9y=85 a=z
Reorder the equations.
a=x+y-135
Substitute x+y-135 for z in the equation a=z.
y=-\frac{32}{3}x+\frac{85}{9} x=-y+a+135
Solve the second equation for y and the third equation for x.
x=-\left(-\frac{32}{3}x+\frac{85}{9}\right)+a+135
Substitute -\frac{32}{3}x+\frac{85}{9} for y in the equation x=-y+a+135.
x=-\frac{1130}{87}-\frac{3}{29}a
Solve x=-\left(-\frac{32}{3}x+\frac{85}{9}\right)+a+135 for x.
y=-\frac{32}{3}\left(-\frac{1130}{87}-\frac{3}{29}a\right)+\frac{85}{9}
Substitute -\frac{1130}{87}-\frac{3}{29}a for x in the equation y=-\frac{32}{3}x+\frac{85}{9}.
y=\frac{12875}{87}+\frac{32}{29}a
Calculate y from y=-\frac{32}{3}\left(-\frac{1130}{87}-\frac{3}{29}a\right)+\frac{85}{9}.
z=-\frac{1130}{87}-\frac{3}{29}a+\frac{12875}{87}+\frac{32}{29}a-135
Substitute \frac{12875}{87}+\frac{32}{29}a for y and -\frac{1130}{87}-\frac{3}{29}a for x in the equation z=x+y-135.
z=a
Calculate z from z=-\frac{1130}{87}-\frac{3}{29}a+\frac{12875}{87}+\frac{32}{29}a-135.
x=-\frac{1130}{87}-\frac{3}{29}a y=\frac{12875}{87}+\frac{32}{29}a z=a
The system is now solved.