If R is the midpoint of PS with PR = 7x + 23 and RS= 13x-19 then find PS

If R is the midpoint of PS, then PR = RS -- (1)

Also, PR + RS = PS -- (2)

PR + RS = PS

7x + 23 + 13x - 19 = PS

Now, PR = PS

7x + 23 = 13x - 19

7x - 13x = -19 - 23

-6x = -42

x = -42/-6

x = 7

PS = 7x + 23 + 13x - 19

PS = 7(7) + 23 + 13(7) - 19

PS = 49 + 23 + 91 - 19

PS = 144

Hope it helps!

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