Question

Find the length of LO if M is between L and O,LM = 7x-9, MO= 14 inches, and LO= 10x-7

Answer 1

`\bf \underset{\leftarrow \qquad \textit{\large 10x-7}\qquad \to }{\stackrel{7x-9}{\boxed{L}\rule[0.35em]{10em}{0.25pt}} M\stackrel{14}{\rule[0.35em]{18em}{0.25pt}\boxed{O}}} \\\\\\ \stackrel{LO}{10x-7}~~=~~\stackrel{LM}{7x-9}~~+~~\stackrel{MO}{14}\implies 10x-7=7x+5\implies 3x-7=5 \\\\\\ 3x=12\implies x=\cfrac{12}{3}\implies x=4 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{LO}{10x-7}\implies 10(4)-7\implies 33`