Answer
$y=2x+3$
Work Step by Step
Express $t$ in terms of one variable and substitute it into the other equation.
$x=2t-5$
$x+5=2t$
$t=\displaystyle \frac{x+5}{2}$
$y=4t-7\Rightarrow\quad $
$ y=4(\displaystyle \frac{x+5}{2})-7$
$y=2(x+5)-7$
$y=2x+10-7 \Rightarrow\quad \fbox{$ y=2x+3 $}$
To graph, create a table using several values for $t$, and then calculate $(x(t), y(t)),$ plotting the points as you go. Join with a smooth curve, noting the direction in which $t$ increases.
