Question

Substituition method solve
15/x + 2/y = 17 , 1/x + 1/y = 36/5

Answer 1

Step-by-step explanation:

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Answer 2

The correct answer is $(5, \frac{1}{7} )$.

The following are the equations given:

$\frac{15}{x} + \frac{2}{y} = 17$

$\frac{1}{x} + \frac{1}{y} = \frac{36}{5}$

Let us assume that, $a = \frac{1}{x}$  and $b = \frac{1}{y}$

⇒ 15a + 2b = 17       ............................................................................................... (i)                                                                  

Also, $a + b = \frac{36}{5}$

⇒ $a = \frac{36}{5} - b$

Substituting the value of a in the equation (i) we get,

$15 (\frac{36}{5} - b ) + 2b = 17$

⇒ 108 - 13b = 17

⇒ b = 7

∴ $y = \frac{1}{7}$

Substituting value of b in the equation (i),

⇒ 15a + (2x7) = 17

⇒ $a = \frac{1}{5}$

∴ x = 5

Thus, $(5, \frac{1}{7} )$ is the solution for the given pair of system of equations.

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