Solve for x, y, z
x=1
y=3
z=2
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z=-5x+2y+1
Solve 5x-2y+z=1 for z.
x+y-4\left(-5x+2y+1\right)=-4 2x-3y-5x+2y+1=-5
Substitute -5x+2y+1 for z in the second and third equation.
y=3x x=-\frac{1}{3}y+2
Solve these equations for y and x respectively.
x=-\frac{1}{3}\times 3x+2
Substitute 3x for y in the equation x=-\frac{1}{3}y+2.
x=1
Solve x=-\frac{1}{3}\times 3x+2 for x.
y=3\times 1
Substitute 1 for x in the equation y=3x.
y=3
Calculate y from y=3\times 1.
z=-5+2\times 3+1
Substitute 3 for y and 1 for x in the equation z=-5x+2y+1.
z=2
Calculate z from z=-5+2\times 3+1.
x=1 y=3 z=2
The system is now solved.
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