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Solve for x, y, z
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z=x 3x+5y=2 a=z
Reorder the equations.
a=x
Substitute x for z in the equation a=z.
y=-\frac{3}{5}x+\frac{2}{5} x=a
Solve the second equation for y and the third equation for x.
y=-\frac{3}{5}a+\frac{2}{5}
Substitute a for x in the equation y=-\frac{3}{5}x+\frac{2}{5}.
z=a
Substitute a for x in the equation z=x.
x=a y=-\frac{3}{5}a+\frac{2}{5} z=a
The system is now solved.