Solve for y, x, z
x=6
y=2
z=4
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3x-\left(14-2x\right)=16
Substitute 14-2x for y in the equation 3x-y=16.
z=\frac{3}{4}x-\frac{1}{2} x=6
Solve the second equation for z and the third equation for x.
z=\frac{3}{4}\times 6-\frac{1}{2}
Substitute 6 for x in the equation z=\frac{3}{4}x-\frac{1}{2}.
z=4
Calculate z from z=\frac{3}{4}\times 6-\frac{1}{2}.
y=-2\times 6+14
Substitute 6 for x in the equation y=-2x+14.
y=2
Calculate y from y=-2\times 6+14.
y=2 x=6 z=4
The system is now solved.
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