Question

Solve the following attachment

Answer 1

Answer:

Step-by-step explanation:

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Answer 2

$\textsf{Consider Equation :}$

$\mathsf{\bigstar\;\;\dfrac{7}{x} + \dfrac{8}{y} = 2}$

$\mathsf{\implies \dfrac{7}{x} = 2 - \dfrac{8}{y}}$

$\textsf{Consider Equation :}$

$\mathsf{\bigstar\;\;\dfrac{1}{x} + \dfrac{6}{y} = 10}$

$\textsf{Multiplying the above equation with 7, We get :}$

$\mathsf{\implies \dfrac{7}{x} + \dfrac{42}{y} = 70}$

$\mathsf{Substituting\;the\;value\;of\;\dfrac{7}{x}\;in\;the\;above\;Equation, We\;get :}$

$\implies \mathsf{2 - \dfrac{8}{y} + \dfrac{42}{y} = 70}$

$\implies \mathsf{\dfrac{42 - 8}{y} = 70 - 2}$

$\implies \mathsf{\dfrac{34}{y} = 68}$

$\implies \mathsf{y = \dfrac{34}{68}}$

$\implies \mathsf{y = \dfrac{1}{2}}$

$\mathsf{Substituting\;the\;value\;of\;y\;in\;Equation\;\dfrac{7}{x} = 2 - \dfrac{8}{y}, We\;get :}$

$\mathsf{\implies \dfrac{7}{x} = 2 - \dfrac{8}{\dfrac{1}{2}}}$

$\mathsf{\implies \dfrac{7}{x} = 2 - 16}$

$\mathsf{\implies \dfrac{7}{x} = -14}$

$\mathsf{\implies x = \dfrac{7}{-14}}$

$\mathsf{\implies x = \dfrac{-1}{2}}$

Answers :

$\mathsf{\bigstar\;\;x = \dfrac{-1}{2}}$

$\mathsf{\bigstar\;\;y = \dfrac{1}{2}}$