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solve for the value of x-y. given the following information. am=25x + y, mb= 5x- y, amc= 11x -11y, cmb=9x-5y

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Based on the diagram shown below, the value of x - y is equal to 3y + 10x.

Since M is the midpoint of line segment AB, we can logically deduce the following:

Line segment AM = Line segment MB

25x + y = 5x - y

25x - 5x = -y - y

20x = -2y

10x = -y

y = -10x ...............equation 1.

By applying the vertical angles theorem to the lines, we have;

m∠AMC ≅ m∠CMB

11x - 11y = 9x - 5y

11x - 9x = 11y - 5y

2x = 6y

x = 3y ...............equation 2.

Next, we would determine the value of x - y by using the substitution method;

x - y

3y - (-10x)

3y + 10x

Complete Question:

Solve for the value of x - y. Given the following information. AM=25x + y, MB= 5x- y, m∠AMC = 11x -11y, m∠CMB =9x-5y.

solve for the value of x-y. given the following information. am=25x + y, mb= 5x- y-example-1
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