Question

solve for x and y by cross multiplication method-
2/x + 3/y = 2 and 1/x - 1/2y = 1/3​

Answer 1

Step-by-step explanation:

Add the two functions and eliminate one of the variables.

2/x+3/y=7 + 1/x+4/y=2 Change 1/x + 4/y =2 into -2/x -8/y = -4

2/x+3/y=7 + (-2/x+-8/y=-4) ==> -5/y = 3 ===> y = -5/3

To find x we sub y into one of the functions and solve:

1/x+4/y=2

1/x+4/(–5/3)=2 ==> 1/x - 12/5 =2 ==> 5/x -12 = 10==> 5/x = 22 ==> x =5/22

y = -5/3 and x = 5/22

Answer is: y = -5/3 and x = 5/22