Question

Solvef for x and y: 8x-3y=5xy, 6x-5y=-2xy

Answer 1

Answer:

x=11/23, y=22/31

Step-by-step explanation:

Given:

8x-3y = 5xy => Eq. 1

6x-5y = -2xy => Eq. 2

To find:

Values of x and y

Solution:

Multiply Eq. 1 by 5, and subtract Eq. 2 multiplied by 3 from it,

40x-15y = 25xy

-

18x -15y = -6xy

————————–

22x = 31xy

22 = 31y

y = 22/31

Multiply Eq. 1 by 2, Eq. 2 by 5 and add them

16x - 6y = 10xy

+

30x-25y = -10xy

——————————

46x-31y = 0

46x = 31y

x = 31y/46

Substituting value of y

x = 31/46 * 22/31

x = 22/46

x = 11/23