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Let 1/x =a, 1/y=b
2a+3b=13 --------1equation *4
5a-4b=-2 --------2equation *3
8a+12b=52
15a-12b=-6
23a=46
a=2
Put the value if a in -------1equation
2(2)+3b=13
3b=13-4
3b=9
b=9/3=3
b=3
Then your answer, a=2 and b=3
a=1/x=2
x=1/2 (by cross multiply)
b=1/y=3
y=1/3 (by cross multiply)
Let 1/x =a, 1/y=b
2a+3b=13 --------1equation *4
5a-4b=-2 --------2equation *3
8a+12b=52
15a-12b=-6
23a=46
a=2
Put the value if a in -------1equation
2(2)+3b=13
3b=13-4
3b=9
b=9/3=3
b=3
Then your answer, a=2 and b=3
a=1/x=2
x=1/2 (by cross multiply)
b=1/y=3
y=1/3 (by cross multiply)
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