Solve for x, y, z
x=a
y=\frac{10-2a}{3}
z=a
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z=x 2x+3y=10 a=z
Reorder the equations.
a=x
Substitute x for z in the equation a=z.
y=\frac{10}{3}-\frac{2}{3}x x=a
Solve the second equation for y and the third equation for x.
y=\frac{10}{3}-\frac{2}{3}a
Substitute a for x in the equation y=\frac{10}{3}-\frac{2}{3}x.
z=a
Substitute a for x in the equation z=x.
x=a y=\frac{10}{3}-\frac{2}{3}a z=a
The system is now solved.
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