Question

Question #871eb

Answer 1

`x=2/13`, `y=-1/5`

Explanation:

Equations are:

(1) `2/x + 3/y = -2`
(2) `4/x + 5/y = 1`

Multiply each equation by `xy` to get:

(1) `2y+3x=-2xy`
(2) `4y+5x=xy`

Now balance the `y` terms:

(1) `4y+6x=-4xy`
(2) `4y+5x=xy`

Subtract (2) from (1):

`x=-5xy`

Cancel the `x` terms and solve for `y`:

`1=-5y`

`y=-1/5`

Now sub `-1/5` back into equation (1) and solve for `x`, which comes out to be `2/13`