Solve for q
q=1100-200r
Solve for r
r=-\frac{q}{200}+5.5
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5.5-0.005q=r
Swap sides so that all variable terms are on the left hand side.
-0.005q=r-5.5
Subtract 5.5 from both sides.
\frac{-0.005q}{-0.005}=\frac{r-5.5}{-0.005}
Multiply both sides by -200.
q=\frac{r-5.5}{-0.005}
Dividing by -0.005 undoes the multiplication by -0.005.
q=1100-200r
Divide r-5.5 by -0.005 by multiplying r-5.5 by the reciprocal of -0.005.
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