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Solve for x, y, z
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y=mx-ma
Calculate y from y=m\left(x-a\right).
x=z z=b
Solve the second equation for x and the third equation for z.
x=b
Substitute b for z in the equation x=z.
y=mb-ma
Substitute b for x in the equation y=mx-ma.
x=b y=mb-ma z=b
The system is now solved.