Question

solve the pair of equation .
2/x + 3/y = 13
5/x - 4/y = -2​

Answer 1

Answer:

x = $\frac{1}{2}$   and y = $\frac{1}{3}$

Step-by-Step Explanation:

2/x + 3/y = 13

2/x = 13 - 3/y

2 = x(13 - 3/y)

2/(13-3/y) = x ---------------(i)

putting value of x in equation 2

5/{2/(13-3/y)} - 4/y = -2

5*(13-3/y)/2 = -2 + 4/y

(65 - 15/y)/2 = -2 + 4/y

65 - 15/y = -4 + 8/y

69 = 23/y

69y = 23

y = $\frac{1}{3}$

If y = $\frac{1}{3}$, then from equation (i)

x = $\frac{2}{13-\frac{3}{\frac{1}{3} } }$

x = $\frac{1}{2}$