Question

2/x + 3/y = 13; 5/x - 4/y = -2​

Answer 1

Answer:

step by step explanation right I don't know lol

Answer 2

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

$\sf \longmapsto \dfrac{2}{x} + \dfrac{3}{y} = 13$

$\sf \longmapsto \dfrac{5}{x} - \dfrac{4}{y} = - 2$

Let 1/x be u and 1/y be v

New Equation obtained:

$\sf \longmapsto2u + 3v = 13 - ( \times 5)$

$\sf \longmapsto5u - 4v = - 2 - ( \times 2)$

New Equation obtained:

10u+15v=65

10u-8v=-4

$(-)$$(+)$$(+)$

______________

23v=69

v=69/23=3

v=3

Put v's value in this Equation

2u+3×3=13

2u+9=13

2u=4

u=2

Now, we have assume u=1/x & v=1/y

$\sf \longmapsto \: u = \dfrac{1}{x}$

$\sf \longmapsto \: 2 = \dfrac{1}{x}$

$\sf \boxed{\bold{ x = 2}}$

Now ,v=1/y

$\sf \longmapsto \: v = \dfrac{1}{y}$

$\sf \longmapsto \: 3 = \dfrac{1}{y}$

$\sf \boxed{\bold{y = 3}}$