Question #871eb

1 Answer
Dec 4, 2017

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