Solve for x, y, z
x=5
y=7
z=2
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x+z=y 7z=x+y+2 x+y+z=14
Reorder the equations.
y=x+z
Solve x+z=y for y.
7z=x+x+z+2 x+x+z+z=14
Substitute x+z for y in the second and third equation.
x=-1+3z z=7-x
Solve these equations for x and z respectively.
z=7-\left(-1+3z\right)
Substitute -1+3z for x in the equation z=7-x.
z=2
Solve z=7-\left(-1+3z\right) for z.
x=-1+3\times 2
Substitute 2 for z in the equation x=-1+3z.
x=5
Calculate x from x=-1+3\times 2.
y=5+2
Substitute 5 for x and 2 for z in the equation y=x+z.
y=7
Calculate y from y=5+2.
x=5 y=7 z=2
The system is now solved.
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