Answer: x=8 and y=29
Explanation:
Since the lines M and N are parallel to each other, the corners that are across from each other are equal. This is true for the corners formed by the lines on the top and bottom.
So, all of the given equations can be set equal to each other. ie: (5x+9)=(4x+17)=(y+20).
Now, since the first two expressions both have x as their only variable, set those equal to each other and do not include the y expression.
ie: (5x+9)=(4x+17)
Now solve for x by subtracting 4x from each side.
ie: x+9=17
Now subtract 9 from each side
ie: x=8
Now you have your X value
Use your X value to solve one of the x variable equations.
ie: 5(8)+9
This equals 49.
Use this answer to substitute it in the equation where we set them all equal.
ie: 49=y+20
Now solve for y using this equation
ie: y=29