Question

If EF=7x+13, FG=21, and EG=132, find the value of x.

Answer 1

$\bf \underset{\leftarrow \qquad \textit{\large 132}\qquad \to }{\stackrel{7x+13}{\boxed{E}\rule[0.35em]{18em}{0.25pt}}F\stackrel{21}{\rule[0.35em]{10em}{0.25pt}\boxed{G}}} \\\\\\ \stackrel{EF}{7x+13}~~+~~\stackrel{FG}{21}~~=~~\stackrel{EG}{132}\qquad \implies 7x+34=132 \\\\\\ 7x=98\implies x = \cfrac{98}{7}\implies x = 14$