Solve for x, y, z
x=\frac{a-6}{2}
y=a-11
z=a
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z=4x-\left(2x-5\right)+1
Substitute 2x-5 for y in the equation z=4x-y+1.
x=-3+\frac{1}{2}z z=a
Solve the second equation for x and the third equation for z.
x=-3+\frac{1}{2}a
Substitute a for z in the equation x=-3+\frac{1}{2}z.
y=2\left(-3+\frac{1}{2}a\right)-5
Substitute -3+\frac{1}{2}a for x in the equation y=2x-5.
y=-11+a
Calculate y from y=2\left(-3+\frac{1}{2}a\right)-5.
x=-3+\frac{1}{2}a y=-11+a z=a
The system is now solved.
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