Solve for x, y, z
x=\frac{a-5}{2}
y=\frac{a+1}{2}
z=a
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x=-\frac{5}{2}+\frac{1}{2}z z=a
Solve the second equation for x and the third equation for z.
x=-\frac{5}{2}+\frac{1}{2}a
Substitute a for z in the equation x=-\frac{5}{2}+\frac{1}{2}z.
y=-\frac{5}{2}+\frac{1}{2}a+3
Substitute -\frac{5}{2}+\frac{1}{2}a for x in the equation y=x+3.
y=\frac{1}{2}+\frac{1}{2}a
Calculate y from y=-\frac{5}{2}+\frac{1}{2}a+3.
x=-\frac{5}{2}+\frac{1}{2}a y=\frac{1}{2}+\frac{1}{2}a z=a
The system is now solved.
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