Suppose M is the midpoint of XY. If XM=8x-9 and MY=5x+6, find the value of x and XM.

BueKoW asked Nov 7, 2023

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BueKoW asked Nov 7, 2023

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14 votes

Answer:

5, 31

Explanation:

By the definition of a midpoint,

$XM=MY \\ \\ 8x-9=5x+6 \\ \\ 3x-9=6 \\ \\ 3x=15 \\ \\ x=5 \\ \\ XM=8(5)-9=31$

Jiayang answered Nov 13, 2023

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