Question

let x and y be positive integer such that x(x-y) = 8y-7 find the value of x+y/x-y​

Answer 1

Answer:

the answer is 15.

Step-by-step explanation:

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Answer 2

Given:

x(x-y) = 8y - 7

To Find:

x + y/x - y

Solution:

x(x-y) = 8y - 7

x² - xy = 8y - 7

x² + 7 = y(8 + x)

y = x² + 7/8 + x

Now, putting the value of y in x + y/x - y

we get,

$\frac{x+\frac{x^{2}+7 }{x+8} }{x-\frac{x^{2}+7 }{x+8} } \\=\frac{2x^{2} +8x+7}{8x-7}$

Hence the required answer is 2x² + 8x + 7/8x - 7

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