Question

PT=7x-24 and TQ=6x-2, Find PT.

Answer 1

We can't find what PT exactly is because we don't know TQ or x.  However, we can find PT in terms of TQ!

Multiply the second equation by seven sixths to get:

$\frac{7TQ}{6}=7x- \frac{7}{3}$

Subtract $\frac{65}{3}$ from both sides to get:

$\frac{7TQ}{6}- \frac{65}{3}=7x-24$

Substituting PT for 7x-24, we see that:

$PT= \frac{7TQ}{6} - \frac{65}{3}$, which is our answer.