Find midpoint

FM=5y+13, MG=5-3y, FG=? M is the midpoint of FG. Use the given information to find the missing measure or value.

Result

x =  16

Solution:

x=FG FM=MG   5 y+13=53 y  8y=8  y=1  x=2 (5 y+13)=2 (5 (1)+13)=16x = |FG| \ \\ |FM| = |MG| \ \\ \ \\ \ \\ 5 \cdot \ y+13 = 5-3 \cdot \ y \ \\ \ \\ 8y = -8 \ \\ \ \\ y = -1 \ \\ \ \\ x = 2 \cdot \ (5 \cdot \ y+13) = 2 \cdot \ (5 \cdot \ (-1)+13) = 16



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