Question

Solve x and y 2x+15y=17xy and 5x +5y = 36xy

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Equations are}$

$\mathsf{2x+15y=17xy}$

$\mathsf{5x+5y=36xy}$

$\underline{\textbf{To find:}}$

$\textsf{Solution of the given equations}$

$\underline{\textbf{Solution:}}$

$\textsf{The given equations can be written as}$

$\mathsf{\dfrac{15}{x}+\dfrac{2}{y}=17}$----------(1)

$\mathsf{\dfrac{5}{x}+\dfrac{5}{y}=36}$----------(2)

$\mathsf{(1)-3{\times}(2)\;\implies}$

$\mathsf{\dfrac{15}{x}+\dfrac{2}{y}=17}$

$\mathsf{\dfrac{15}{x}+\dfrac{15}{y}=108}$

$\mathsf{\dfrac{-13}{y}=-91}$

$\mathsf{\dfrac{1}{y}=\dfrac{-91}{-13}}$

$\mathsf{\dfrac{1}{y}=7}$

$\implies\boxed{\mathsf{y=\dfrac{1}{7}}}$

$\mathsf{Put\;y=\dfrac{1}{7}\;in\;(2)}$

$\mathsf{\dfrac{5}{x}+\dfrac{5}{\dfrac{1}{7}}=36}$

$\mathsf{\dfrac{5}{x}+35=36}$

$\mathsf{\dfrac{5}{x}=36-35}$

$\mathsf{\dfrac{5}{x}=1}$

$\implies\boxed{\mathsf{x=5}}$

$\therefore\mathrm{\bf\,Solution\;is\;x=5\;\&\;y=\dfrac{1}{7}}$

$\underline{\textbf{Find more:}}$

8x-19y=2550

7x-16y=2550

Solve by elimination method class 10  

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4x - 3y = 16; 6x + 5y = 62.​

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