Question #871eb

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Answer 1 · 2017-12-04T14:11:56

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

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#