Solve for x, y, z
x=7
y=-10
z=4
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x=-y-z+1
Solve x+y+z=1 for x.
2\left(-y-z+1\right)+2y+3z=6 -y-z+1+4y+9z=3
Substitute -y-z+1 for x in the second and third equation.
z=4 y=\frac{2}{3}-\frac{8}{3}z
Solve these equations for z and y respectively.
y=\frac{2}{3}-\frac{8}{3}\times 4
Substitute 4 for z in the equation y=\frac{2}{3}-\frac{8}{3}z.
y=-10
Calculate y from y=\frac{2}{3}-\frac{8}{3}\times 4.
x=-\left(-10\right)-4+1
Substitute 4 for z and -10 for y in the equation x=-y-z+1.
x=7
Calculate x from x=-\left(-10\right)-4+1.
x=7 y=-10 z=4
The system is now solved.
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