2/x+3/y=13 2x+3y=2

simultaneous

#1

2/x+3/y=13 2x+3y=2
Solve each of the following pairs of simultaneous equations. Please show the working along with the answer. Thank you for your help

Answer:

2/x+3/y=13

2x+3y=2
or
2x=2-3y
or
x=(2-3y)/2

2/(2-3y)/2+3/y=13
4/(2-3y)+3/y=13
LCD (2-3y)(y)

4y+3(2-3y)=13(2-3y)(y)
or
4y+6-9y=26y-39y^2

or
39y^2-31y+6=0
or
a=39 b= -31 c= 6
quadratic formula
x=(31±sqrt{25})/78
y=1/3 and 6/13
2x+3y=2
2x+3(1/3)=2
2x+1=2
2x=1
x=1/2 (1/3,1/2)
2x+3(6/13)=2
2x=2-18/13
x=8/26 or 4/13
(6/13,4/13)
Answer
(1/3,1/2) and (6/13,4/13)