Question

2x+3y=xy and 3x-4y=2xy Solve

Answer 1

Hey there,

$2x + 3y =x y - - - - (1)\\ 3x - 4y = 2xy - - - - -(2)$

$\frac{2x}{xy} + \frac{3y}{xy} = 1$

$\frac{3x}{xy} - \frac{4y}{ xy } = 2$

now we get,

$\frac{2}{y} + \frac{3}{x} = 1 \\ \frac{3}{y} - \frac{4}{x} = 2$

let:

$\frac{1}{x} = u \\ \frac{1}{y} = v$

so the equations will be

$2v + 3u = 1 \\ 3v - 4u = 2$

by eliminating both the equation:

${\bold{\red{\boxed{u= 5/17}}}}$

and

${\bold{\red{\boxed{v= 1/17}}}}$

now for the value of x:

$\frac{1}{x} = \frac{5}{17} \\ x = \frac{17}{5}$

and

$\frac{1}{y} = v \\ y = 17$

$<marquee>(｡♥️‿♥️｡) Hashtag26</marquee>$

Answer 2

Answer:

Your answer in the attachment.