Question

answer for 2/x - 1/y = 1 / 5/x + 3/y=4

Answer 1

Answer:

2/x-1/y=1/5/x+3/y=4

Step-by-step explanation:

2/x-1/5x=3/y+1/y=4

10-1/5x=4y=4

9/5x=4y=4

Answer 2

Solution:-

We have

$\rm \: \frac{2}{x} - \frac{1}{y} = 1 \: \: \: \: \: \: \: \: \: \: \: \: ........(i)eq$

$\rm \frac{5}{x} + \frac{3}{y} = 4 \: \: \: \: \: \: \: \: \: \: ........(ii)eq$

Let

$\rm \frac{1}{x} = u \: \: \: and \: \: \: \: \frac{1}{y} = v$

we get

$\rm \: 2u - v = 1 \: \: \: \: \: .....(i)eq$

$\rm \: 5u + 3v = 4 \: \: \: \: \: \: \: \: .......(ii)eq$

Using substitution method

Take (i)eq

$\rm \: v = 2u - 1 \: \: \: \: \: \: \: \: ......(iii)eq$

put on (ii) eq

$\rm5u + 3(2u - 1) = 4$

$\rm \: 5u + 6u - 3 = 4$

$\rm \: 11u = 3 + 4$

$\rm \: 11u = 7$

$\rm \: u = \frac{7}{11}$

put the value of u on (iii)eq

$\rm \: v = 2 \times \frac{7}{11} - 1$

$\rm \: v = \frac{14}{11} - 1$

$\rm \: v = \frac{14 - 11}{11}$

$\rm \: v = \frac{3}{11}$

we get value of v and u

$\rm \: u = \frac{7}{11} \: \: and \: \: \rm \: v = \frac{3}{11}$

$\rm \frac{1}{x} = \frac{7}{11} \: \: \: and \: \: \: \: \frac{1}{y} = \frac{3}{11}$

value of x and y is

$\rm \: x = \frac{11}{7} \: \: and \: \: y = \frac{11}{3}$