Question

if 8x+13y/8x-13y = 9/7 find x:y​

Answer 1

hey buddy here is your answer

8x+13y = 9   ............................................(i)

8x-13y = 7   .............................................(ii)

Adding (i) and (ii)

                  8x+13y+8x-13y=9+7

                =>16x=16

                =>x=1

Then 8x+13y=9

      =>8(1)+13y=9

     =>13y=1

     =>y=1/13

Hence x=1,y=1/13

Hope it helps

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Answer 2

SOLUTION

GIVEN

$\displaystyle \sf{ \frac{8x + 13y}{8x - 13y} = \frac{9}{7} }$

TO DETERMINE

The value of x : y

EVALUATION

$\displaystyle \sf{ \frac{8x + 13y}{8x - 13y} = \frac{9}{7} }$

By addendo and Componendo rule we get

$\displaystyle \sf{ \implies \frac{8x + 13y +8x - 13y }{8x + 13y - 8x + 13y} = \frac{9 + 7}{9 - 7} }$

$\displaystyle \sf{ \implies \frac{16x }{26y} = \frac{16}{2} }$

$\displaystyle \sf{ \implies \frac{x }{26y} = \frac{1}{2} }$

$\displaystyle \sf{ \implies \frac{x }{y} = \frac{26}{2} }$

$\displaystyle \sf{ \implies \frac{x }{y} = \frac{13}{1} }$

$\displaystyle \sf{ \implies x : y = 13 : 1 }$

FINAL ANSWER

$\displaystyle \sf{ x : y = 13 : 1 }$

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