The diagonals of a rectangle are congruent and bisect each other.
MW = HW = (1/2)(MT)
MW = HW = (1/2)(50)
MW = HW = 25
3x + y = 25
7x - 6y = 25
Multiply the first equation by 6.
Write the second equation below it.
Add the equations.
18x + 6y = 150
+ 7x - 6y = 25
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25x = 175
x = 7
3x + y = 25
3(7) + y = 25
21 + y = 25
y = 4
Answer: x = 7; y = 4