Question

x+y=6 and x*y=5 find the value of x and y

Answer 1

Answer: The anser is Either x=5 & y= 1

Or x =1 & y =5.

Step-by-step explanation:

Given that, x+y = 6 & xy= 5

We know, (x-y)²= (x+y)²-4xy = 6²-4×5=16

=> x-y = +-√16

=> x-y=+-4

Let, x-y = +4 & x+y =6

Then adding two above equation we get

2x = 10

=> x = 5. & y = 6-x = 6-5=1

Again, let, x-y = -4 & x+y=6

Second equation subtract from first equation we get,

-2y = - 10 => y = 5 & x = 1.

Answer 2

Answer:

1 and 5 or 5 and 1 are value of x and y.

Step-by-step explanation:

x*y=5 and x+y=6

x = 5/y put in second eq.

5/y + y = 6

5 + y /y,= 6

5 + y = 6y

5 = 5y

1 = y => x = 5

1 and 5 are the answer.