Question

solve 60 by x + 240 by y=4 and 100by x + 200 by y =25 by 6 find the value of x and y​

Answer 1

Answer:

$\frac{60}{x}+\frac{240}{y}=4$ , $\frac{100}{x} +\frac{200}{y}=\frac{25}{6}$

Let  $\frac{1}{x}$  be a and  $\frac{1}{y}$  be b

60a + 240b = 4                            , 100a + 200b = $\frac{25}{6}$

600a +2400b = 40---------1          , 600a + 1800b = 25---------2

1-2

600a+2400b-600a-1800b=40-25

600b=15

b=$\frac{1}{40}$=$\frac{1}{y}$

⇒y=40

Also, a=$\frac{1}{-30}$=$\frac{1}{x}$

⇒x=-30

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