(5)/(4) x = (5)/( √(y - 7) ) find the value of y​

Question

`(5)/(4) x = (5)/( √(y - 7) )`
find the value of y​

Answer 1

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  `y=\cfrac{16}{x^2} +7`

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Solve the given equation for y:

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  `\cfrac{5}{4} x=\cfrac{5}{√(y-7) }` Given

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  `√(y-7) =\cfrac{5*4}{5*x}` Cross-multiplication

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  `√(y-7) =\cfrac{4}{x}` Cancel 5's

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  `y-7=\cfrac{16}{x^2}` Square both sides

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  `y=\cfrac{16}{x^2} +7` Add 7 to both sides