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Solve for y, x, z
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x=x+2z-14
Substitute x+2z for y in the equation x=y-14.
x=-\frac{1}{2}z-\frac{1}{2} z=7
Solve the second equation for x and the third equation for z.
x=-\frac{1}{2}\times 7-\frac{1}{2}
Substitute 7 for z in the equation x=-\frac{1}{2}z-\frac{1}{2}.
x=-4
Calculate x from x=-\frac{1}{2}\times 7-\frac{1}{2}.
y=-4+2\times 7
Substitute -4 for x and 7 for z in the equation y=x+2z.
y=10
Calculate y from y=-4+2\times 7.
y=10 x=-4 z=7
The system is now solved.