I need to find 5 or more ordered pairs (x,y)
In which xy = x + y
like (0,0) and (2,2)
0,0
2,2
1/2,-1
-1,1/2
i need one more
How about two different x's and y''s?
(2,3) = 1,5)
this is the problem: xy= x+y
or the product of xy equals the sum of x and y.
example: x= .5 and y= -1
where x times y equals -0.5 and x plus y also equals -0.5.
i need one more example so far I have:
(0,0)
(2,2)
(1/2,-1)
(-1,1/2)
xy= x+y ---->
xy - x = y --->
x(y-1) = y ---->
x = y/(y-1)
Take e.g. y = 9/10 ---> x = -9
To find another ordered pair (x, y) that satisfies the equation xy = x + y, we can substitute different values for y and solve for the corresponding x value.
Let's take y = 3/4 as an example:
xy = x + y
x(3/4) = x + (3/4)
3x/4 = x + 3/4
Now, we can multiply both sides of the equation by 4 to eliminate the fraction:
3x = 4x + 3
Subtract 4x from both sides:
3x - 4x = 3
-x = 3
Divide both sides by -1:
x = -3
So, when y = 3/4, x = -3. Therefore, the ordered pair (x, y) = (-3, 3/4) satisfies the equation xy = x + y.