solve the pair of equation: 2/x+3/y= 13, 5/x-4/y=-2
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2/x + 3/y =13 , 5/x -4/y = -2
In eq. first
2/x = 13- 3/y
2/x = (13y - 3) / y
x = 2y /(13y-3)
Putting the value of x in eq. 2nd,
5/ 2y / 13y-3 -4/y =-2
65y -15 / 2y -4/y =-2
130y -30 -4/4y=-2
130y -34/4y =-2
130y -34 = -8y
138y = 34
y = 34/ 138
y = 17 / 69
2/ x +3/17/69 = 13
2/x + 207/17 = 13
2/x = 13 -207/17
2/x = 221- 207/17
2/x = 214/17
x = 17× 2 / 214
x = 17/107
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