4/x + 2/y = 11 ,3/x-5/y=-2
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// Solve equation [2] for the variable x
[2] 3x = 5y - 8
[2] x = 5y/3 - 8/3
// Plug this in for variable x in equation [1]
[1] 4•(5y/3-8/3) + 2y = 11
[1] 26y/3 = 65/3
[1] 26y = 65
// Solve equation [1] for the variable y
[1] 26y = 65
[1] y = 5/2
// By now we know this much :
x = 5y/3-8/3
y = 5/2
// Use the y value to solve for x
x = (5/3)(5/2)-8/3 = 3/2
Solution :
{x,y} = {3/2,5/2}
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