Solve for \(c\) in \(AB=4.5cm\).
Solve for \(c\).
\[AB=4.5cm\]
Divide both sides by \(4.5\).
\[\frac{AB}{4.5}=cm\]
Divide both sides by \(m\).
\[\frac{\frac{AB}{4.5}}{m}=c\]
Simplify \(\frac{\frac{AB}{4.5}}{m}\) to \(\frac{AB}{4.5m}\).
\[\frac{AB}{4.5m}=c\]
Switch sides.
\[c=\frac{AB}{4.5m}\]
\[c=\frac{AB}{4.5m}\]
Substitute \(c=\frac{AB}{4.5m}\) into \(BC=5.5cm\).
Start with the original equation.
\[BC=5.5cm\]
Let \(c=\frac{AB}{4.5m}\).
\[BC=5.5\times \frac{AB}{4.5m}m\]
Simplify.
\[BC=1.222222AB\]
\[BC=1.222222AB\]
Since \(BC=1.222222AB\) is not true, this is an inconsistent system.
