Question

X + y by x y is equal to 2 x minus y by x minus y is equal to 6 solve for x and y

Answer 1

Answer:

x = 3/8 and y = 3/10.

Step-by-step explanation:

x+y/xy = 2x-y/x-y = 6

2x - y/x - y = 6

=> 2x -y = 6x - 6y

=> 4x = 5y  

=> x = 5y/4 ------------------ [1]

x+y/xy = 6

=> x+y = 6xy

Substitute [1] in the above equation.

=> 5y/4 + y = 6(5y/4)(y)

=> 9y/4 = 30y²/4

=> y = 9y/4 * 4/30y = 3/10

=> x = 5/4*3/10 = 3/8.

Verification:

x+y/xy = 6

3/8+3/10 = 15+12/40/9/80 = 27/40 * 80/9 = 6

2x - y/x-y = 6

2*3/8 - 3/10 / 3/8 - 3/10 = 15-6/20 / 15-12/40 = 9/20 * 40/3 = 6.