Solve for x, y, z
x=0
y=1
z=2
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y=-5x+1
Solve 2x+y+3x=1 for y.
2x-5x+1+z=3
Substitute -5x+1 for y in the equation 2x+y+z=3.
x=2-z z=3x+2
Solve the second equation for x and the third equation for z.
z=3\left(2-z\right)+2
Substitute 2-z for x in the equation z=3x+2.
z=2
Solve z=3\left(2-z\right)+2 for z.
x=2-2
Substitute 2 for z in the equation x=2-z.
x=0
Calculate x from x=2-2.
y=-5\times 0+1
Substitute 0 for x in the equation y=-5x+1.
y=1
Calculate y from y=-5\times 0+1.
x=0 y=1 z=2
The system is now solved.
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