Solve for x, y, z
x=9
y=1
z=4
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x=-y+10
Solve x+y=10 for x.
-y+10+z=13
Substitute -y+10 for x in the equation x+z=13.
y=-z+5 z=y+3
Solve the second equation for y and the third equation for z.
z=-z+5+3
Substitute -z+5 for y in the equation z=y+3.
z=4
Solve z=-z+5+3 for z.
y=-4+5
Substitute 4 for z in the equation y=-z+5.
y=1
Calculate y from y=-4+5.
x=-1+10
Substitute 1 for y in the equation x=-y+10.
x=9
Calculate x from x=-1+10.
x=9 y=1 z=4
The system is now solved.
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