Question

How do you do this? Please help

Answer 1

Answer:

$PO=86.2\\ OM=23.8$

Step-by-step explanation:

To preface, your figure is going to be a line segment, with $O$ as your midpoint, in between points $P$ & $M.$

With that being said:

$PO+OM=PM$

Identify your values:

$PO=7y+12\\OM=3y-8\\PM=110$

Substitute the values into the first equation:

$7y+12+3y-8=110$

Combine like terms:

$10y+4=110$

Subtract $4$ from both sides of the equation:

$10y=106$

Divide by the coefficient of $y$, which is $10$:

$y=10.6$

Substitute $10.6$ for $y$ in segments $PO$ & $OM$:

$PO=7(10.6)+12$

$OM=3(10.6)-8$

$PO=74.2+12$

$OM=31.8-8$

Solve:

$PO=86.2$

$OM=23.8$

Check your answers by substituting:

$PO+OM=PM$

$86.2+23.8=110$