Solve for x, y, z
x=\frac{3a}{22}
y=\frac{a}{22}
z=a
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z=7\times 3y+y
Substitute 3y for x in the equation z=7x+y.
y=\frac{1}{22}z z=a
Solve the second equation for y and the third equation for z.
y=\frac{1}{22}a
Substitute a for z in the equation y=\frac{1}{22}z.
x=3\times \frac{1}{22}a
Substitute \frac{1}{22}a for y in the equation x=3y.
x=\frac{3}{22}a
Calculate x from x=3\times \frac{1}{22}a.
x=\frac{3}{22}a y=\frac{1}{22}a z=a
The system is now solved.
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