Solve 1∕(x+y) + 2/(x-y)= 1/15
1/3(x+2y) - 1/3(x-2y)=-8/45
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Step-by-step explanation:
1. let 1/(x+y) be m and 1/(x-y) be n
therefore m + 2n = 1/15 eqn1
2. let 1/(3x +2y) be m and 1/ (3x - 2y) be n
therefore m-n = - 8/45 eqn 2
3. (m + 2n ) 15 =1 : 15m + 30n = 1 eqn3 * 3
4. (m-n) 45 = -8 : 45m - 45n = -8 eqn4
5. now multiply eqn 1 by 3
we get 45m + 90n = 3 eqn 5
6. add the eqns 4 and 5
7. 45m + 90n = 3
45m - 45n = -8
0 + 45n = -5
8. 45n = -5
n = - 5 / 45
n= - 1/9
substitues in eqn 1
m + 2n = 1/ 15
m + 2 * (- 1/9) = 1/15
m - 2/9 = 1/15
m = 1/15 + 2/9
m = 3/45 + 10/45
m = (3 + 10 ) /45
m= 13/ 45
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