Question

2/x+3/y=10 5/x-4/y=-2​

Answer 1

Explanation:

2/x+3/y = 10 ; 5/x-4/y = -2

2y/x+3 = 10 ; 5y/x-4 = -2

Let y/x+3 be m and y/x-4 be n ,

2m = 10

m = 10/2

m = 5

5n = -2

n = -2/5

resubstutuing the value of m and n,

y/x+3 = 5

y = 5(x+3)

y = 5x + 15

y/x-4 = -2/5

y = -2/5 (x-4)

y = -2x + 8/5

substituting the value of y ,

5x + 15 = -2x + 8 / 5

5x + 15 × 5 = -2x + 8

5x + 75 = -2x + 8

5x + 2x = 8 - 75

7x = 67

x = 67/7

substituting the value of x ,

y = 5 × 67/7 + 15

y = 340/7