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