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Solve for X, Y, Z
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X=-Y-Z+1
Solve X+Y+Z=1 for X.
-Y-Z+1+Y-Z=10 -Y-Z+1-Y-Z=100
Substitute -Y-Z+1 for X in the second and third equation.
Z=-\frac{9}{2} Y=-Z-\frac{99}{2}
Solve these equations for Z and Y respectively.
Y=-\left(-\frac{9}{2}\right)-\frac{99}{2}
Substitute -\frac{9}{2} for Z in the equation Y=-Z-\frac{99}{2}.
Y=-45
Calculate Y from Y=-\left(-\frac{9}{2}\right)-\frac{99}{2}.
X=-\left(-45\right)-\left(-\frac{9}{2}\right)+1
Substitute -\frac{9}{2} for Z and -45 for Y in the equation X=-Y-Z+1.
X=\frac{101}{2}
Calculate X from X=-\left(-45\right)-\left(-\frac{9}{2}\right)+1.
X=\frac{101}{2} Y=-45 Z=-\frac{9}{2}
The system is now solved.