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Cross multiplying equation 1:
5(x+1) = 6(y+1)
5x + 5 = 6y + 6
5x - 6y = 1
Cross multiplying equation 2:
2(x-5) = 3(y-5)
2x - 10 = 3y - 15
3y - 2x = 5
Multiplying second equation ( x 2)
-4x + 6y = 10
Adding the two:
x = 11
y = 9
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