Solve for x, y, z
x=a
y=-2a
z=a
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2x+2y=y z=x a=z
Multiply each equation by the least common multiple of denominators in it. Simplify.
z=x 2x+2y=y a=z
Reorder the equations.
a=x
Substitute x for z in the equation a=z.
y=-2x x=a
Solve the second equation for y and the third equation for x.
y=-2a
Substitute a for x in the equation y=-2x.
z=a
Substitute a for x in the equation z=x.
x=a y=-2a z=a
The system is now solved.
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