Solve for x, y, z
x=4
y=2
z=3
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x=-3y+10
Solve x+3y=10 for x.
3\left(-3y+10\right)-4z=0
Substitute -3y+10 for x in the equation 3x-4z=0.
y=z-1 z=\frac{15}{2}-\frac{9}{4}y
Solve the second equation for y and the third equation for z.
z=\frac{15}{2}-\frac{9}{4}\left(z-1\right)
Substitute z-1 for y in the equation z=\frac{15}{2}-\frac{9}{4}y.
z=3
Solve z=\frac{15}{2}-\frac{9}{4}\left(z-1\right) for z.
y=3-1
Substitute 3 for z in the equation y=z-1.
y=2
Calculate y from y=3-1.
x=-3\times 2+10
Substitute 2 for y in the equation x=-3y+10.
x=4
Calculate x from x=-3\times 2+10.
x=4 y=2 z=3
The system is now solved.
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