Solve for x, y, z
x=-\frac{100a}{11}+220
y=\frac{100a}{11}
z=a
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z=0\times 6x+0.11y x+y=220 a=z
Reorder the equations.
z=0.11y
Calculate z from z=0\times 6x+0.11y.
a=0.11y
Substitute 0.11y for z in the equation a=z.
x=-y+220 y=\frac{100}{11}a
Solve the second equation for x and the third equation for y.
x=-\frac{100}{11}a+220
Substitute \frac{100}{11}a for y in the equation x=-y+220.
x=220-\frac{100}{11}a
Calculate x from x=-\frac{100}{11}a+220.
z=0.11\times \frac{100}{11}a
Substitute \frac{100}{11}a for y in the equation z=0.11y.
z=a
Calculate z from z=0.11\times \frac{100}{11}a.
x=220-\frac{100}{11}a y=\frac{100}{11}a z=a
The system is now solved.
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