Question

If M is between G and T, MG = 5x+3, MT = 2x-1, and GT = 37then x = MG =MT =

Answer 1

We have:

Then:

$\begin{gathered} MG+MT=GT \\ 5x+3+2x-1=37 \end{gathered}$

And solve for x:

$\begin{gathered} 7x+2=37 \\ 7x+2-2=37-2 \\ 7x=35 \\ \frac{7x}{7}=\frac{35}{7} \\ x=5 \end{gathered}$

Therefore, for MG and MT:

$\begin{gathered} MG=5(5)+3=25+3=28 \\ MT=2(5)-1=10-1=9 \end{gathered}$

Answer:

x = 5

MG = 28

MT = 9