Solve for x, y, z
x=25
y=10
z=5
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x=-2y+45
Solve x+2y=45 for x.
-2y+45-2y=5 -2y+45+y+z=40
Substitute -2y+45 for x in the second and third equation.
y=10 z=y-5
Solve these equations for y and z respectively.
z=10-5
Substitute 10 for y in the equation z=y-5.
z=5
Calculate z from z=10-5.
x=-2\times 10+45
Substitute 10 for y in the equation x=-2y+45.
x=25
Calculate x from x=-2\times 10+45.
x=25 y=10 z=5
The system is now solved.
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