Answer:
c
Step-by-step explanation:
Let 1/x = a &
1/y = b
So, now the equation:
2a +3b = 13 --------------------(i)
5a - 4b = -2 --------------------(ii)
To eliminate a, Multiply equation (i) by 5 and multiply (ii) by (-2)
(i)*5 10a + 15b = 65
(ii)*(-2) - 10a + 8b = 4 ( Now add, a will be eliminated}
23b = 69
b= 69/23
b = 3
Plug in the value of b in equation (i)
2a + 3*3 = 13
2a + 9 = 13
2a = 13 - 9
2a = 4
a= 4/2
a = 2
Now a = 1/x ------>x = 1/a = 1/2
b = 1/y ----------->y = 1/b = 1/3
[tex]x+y=\frac{1}{2}+\frac{1}{3}\\\\=\frac{1*3}{2*3}+\frac{1*2}{3*2}\\\\=\frac{3}{6}+\frac{2}{6}\\\\=\frac{5}{6}[/tex]
