Question

if 2/x +3/y=6 and 1/x+1/2y=2 find x and y

Answer 1

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Answer 2

The values of x and y are $\frac{3}{2}$ and 1.

Given:

$\frac{2}{x}+\frac{3}{y}= 6$....................(i)

$\frac{1}{x}+\frac{1}{2y} =2$....................(ii)

To Find:

We have to find the values of x and y.

Solution:

Let us tackle the problem.

We can easily solve this problem as follows,

1st we multiply equation (ii) with 2.

Then we get,

$\frac{2}{x} +\frac{1}{y} =4$.......................(iii)

Now we subtract equation (iii) from equation(i).

Then we get,

$\frac{2}{y} = 2$

⇒$y=1$

Therefore the value of $\frac{1}{x}$ is ($2-\frac{1}{2}$) = $\frac{3}{2}$.

Hence, the values of x and y are $\frac{3}{2}$  and 1.

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