Question

solve for x and y : 4/x - 9/y = -1 , 15x/2 -5​

Answer 1

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Answer 2

$\large\textbf{Question} :$

$\frac{4}{x}- \frac{9}{y}= -1 , \frac{15x}{2}-5$

$\large\textbf{Solution :}$

$\frac{4}{x}- \frac{9}{y}= -1 .........(1)$

${15x}{2}-5......(2)$

Now, shall simplify (2) to find x

$\implies \frac{15x}{2}-5$

$\implies \frac{15x}{2}=5$

$\implies 15x=10$

$\implies x=\frac{10}{15}\implies x=\frac{2}{3}$

Now, substitute the value of x in (1)

$\implies \frac{4}{x}- \frac{9}{y}= -1$

$\implies \frac {4}{\frac{2}{3}} - \frac{9}{y} = -1$

$\implies \frac{4\times 3}{2} - \frac{9}{y} = -1$

$\implies 6-\frac{9}{y} = -1$

$\implies{y=3}$