Question

2/x + 3/y = 13 ; 5/x - 4/y = -2 solve the simultaneous equation

Answer 1

2/x +3/y=13 .....1
5/x -4/y=-2 .......2
multiply eqn 1 by 5 and eqn 2 by 2
10/x +15/y=65
10/x -8/y=-4
- + +
-------------------
23/y=69
23=69y
y =23/69
=1/3
put the value of y in eqn 1
2/x+3/y=13
2/x+3/1/3=13
2/x+3*3=13
2/x+9=13
2/x=13-9
2/x=4
x=2/4
x=1/2
[ x=1/2 and y=1/3]