Question

2 women and 5 men can together finish an embroidery work in 4 days. If the time

taken by 1 woman alone to finish the work is x days and that taken by 1 man alone is

y days, then the linear equation in two variables for the situation can be written as

________________.​

Answer 1

1 woman = x days

In one day women does 1/x unit of work.

1 man = y days

In one day men does 1/y unit of work.

$\frac{2}{x} + \frac{5}{y} = \frac{1}{4} \\ 2x + 5x = \frac{xy}{4} \\ 8x + 20y = xy \\ 8x - xy + 20y = 0$