Solve for x, y, z
x=1
y=1
z=1
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x=-y+2
Solve x-y+2y=2 for x.
2\left(-y+2\right)+3y+4y=9 -y+2+4y+2z=7
Substitute -y+2 for x in the second and third equation.
y=1 z=-\frac{3}{2}y+\frac{5}{2}
Solve these equations for y and z respectively.
z=-\frac{3}{2}+\frac{5}{2}
Substitute 1 for y in the equation z=-\frac{3}{2}y+\frac{5}{2}.
z=1
Calculate z from z=-\frac{3}{2}+\frac{5}{2}.
x=-1+2
Substitute 1 for y in the equation x=-y+2.
x=1
Calculate x from x=-1+2.
x=1 y=1 z=1
The system is now solved.
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