Question

solve the simultaneous equations

$\frac{7x - 2y}{xy} = 5 and \frac{8x + 7y}{xy} = 15$
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Answer 1

Answer:

Dividing first eqn by second eqn :

(7x-2y)/(8x+5y) = 5/15

So 21x-6y = 8x+5y

13x = 11y

x = (11/13)y

Putting value of x in eqn 2:

(77y/13)-2y/(11y/13)y = 5

51y×13/11y = 5

So y = 663/55.

Hence x = 51/5.

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