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How do you do this? Please help

How do you do this? Please help-example-1
User Rob King
by
5.5k points

1 Answer

4 votes

Answer:


PO=86.2\\ OM=23.8\\

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

User Pablobm
by
4.8k points