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Solve for x, y, z
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z=y 2x+y=6 a=z
Reorder the equations.
a=y
Substitute y for z in the equation a=z.
x=-\frac{1}{2}y+3 y=a
Solve the second equation for x and the third equation for y.
x=-\frac{1}{2}a+3
Substitute a for y in the equation x=-\frac{1}{2}y+3.
z=a
Substitute a for y in the equation z=y.
x=-\frac{1}{2}a+3 y=a z=a
The system is now solved.