Question

Question :-

Solve:
$\mathsf{\dfrac{15}{x}\:+\:\dfrac{2}{y}\:=\:17\:,\:\dfrac{1}{x}\:+\:\dfrac{1}{y}\:=\:\dfrac{36}{5}}$

Answer 1

Answer:

Let a = 1/x and b = 1/y.

Then,

15a + 2b = 17 -----(1)

a + b = 36/5 -----(2)

(1) - 2(2) :

13a = 17 - 72/5

13a = (85 - 72) / 5

13a = 13/5

Divide each side by 13.

a = 1/5 -----(3)

Substitute 1/5 for a in (1).

(1)-----> 15(1/5) + 2b = 17

3 + 2b = 17

Subtract 3 from each side.

2b = 14

Divide each side by 2.

b = 7 ----->(4)

In (3) and (4), substitute 1/x for 'a' and 1/y for b.

1/x  =  1/5

x  =  5

1/y  =  7

y  =  1/7

• HOPE THIS HELPS YOU

Answer 2

Answer:

Thank you !

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