Question

4^x=7^y=28 then x+y/xy​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

SOLUTION

GIVEN

$\displaystyle \sf{ {4}^{x} \: \times \: {7}^{y} = 28 }$

TO DETERMINE

$\displaystyle \sf{ \frac{x + y}{x y} }$

EVALUATION

Here the given equation is

$\displaystyle \sf{ {4}^{x} \: \times \: {7}^{y} = 28 }$

$\displaystyle \sf{ \implies {4}^{x} \: \times \: {7}^{y} = 4 \times 7 }$

$\displaystyle \sf{ \implies {4}^{x} \: \times \: {7}^{y} = {4}^{1} \times {7}^{1} }$

Comparing both sides we get x = 1 , y = 1

Hence we get

$\displaystyle \sf{ \frac{x + y}{x y} }$

$\displaystyle \sf{ = \frac{1 + 1}{1 \times 1} }$

$\displaystyle \sf{ = \frac{2}{1} }$

$\displaystyle \sf{ = 2 }$

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