Solve for x, y, z
x=7
y=-2
z=1
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x=-4y-2z+1
Solve x+4y+2z=1 for x.
-4y-2z+1-y-3z=6 -4y-2z+1+2y+z=4
Substitute -4y-2z+1 for x in the second and third equation.
y=-1-z z=-2y-3
Solve these equations for y and z respectively.
z=-2\left(-1-z\right)-3
Substitute -1-z for y in the equation z=-2y-3.
z=1
Solve z=-2\left(-1-z\right)-3 for z.
y=-1-1
Substitute 1 for z in the equation y=-1-z.
y=-2
Calculate y from y=-1-1.
x=-4\left(-2\right)-2+1
Substitute -2 for y and 1 for z in the equation x=-4y-2z+1.
x=7
Calculate x from x=-4\left(-2\right)-2+1.
x=7 y=-2 z=1
The system is now solved.
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