Question #232772

point m is the midpoint of xy. xm=5x+3 and my =9x -25 find x xm my xy



1
Expert's answer
2021-10-07T13:36:41-0400

Solution;

Given;

xm=5x+3x_m=5x+3

ym=9x25y_m=9x-25

If m is the midpoint of xy,then;

xm=ymx_m=y_m

Hence;

5x+3=9x255x+3=9x-25

4x=284x=28

x=7x=7

By substitution;

xm=5x+3=5(7)+3=38x_m=5x+3=5(7)+3=38

ym=9x25=9(7)25=38y_m=9x-25=9(7)-25=38

But;

xy=xm+ymxy=x_m+y_m

xy=38+38=76xy=38+38=76

Answer;

x=7x=7

xm=38x_m=38

ym=38y_m=38

xy=76xy=76


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