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Answer:
y = 4
x = 12
Step-by-step explanation:
Because the lines in the parallelogram are intersecting perpendicularly, each line is equal to the opposite line.
For example,
6y + 1 = 4y + 9
and
2x - 5 = x + 7
So, now we just solve both of those equations.
We'll start with the first one :)
6y + 1 = 4y + 9
6y + 1 - 4y = 4y + 9 = 4y
2y + 1 = 9
2y + 1 - 1 = 9 - 1
2y = 8
y = 4
now onto the second equation :)
2x - 5 = x + 7
2x - 5 - x = x + 7 - x
x - 5 = 7
x - 5 + 5 = 7 + 5
x = 12