state the restrictions on the variables
x/x-y
would the restrictions be x be 1 and y be zero
Restrictions are values of x and y that causes the denominator to = 0.
x / (x - y),
Set denominator = 0:
x - y = o
solve for x:
x = y,
So when x = y , the denominator = 0.
To determine the restrictions on the variables in the expression x/(x-y), we need to look for any values that could make the expression undefined.
In this case, the expression would be undefined if the denominator (x-y) equals zero. So, we can set the denominator to zero and solve for x to find the restriction:
x - y = 0
x = y
Therefore, the restriction on the variables in the expression is that x cannot be equal to y. In other words, x and y can be any real numbers as long as they are not equal to each other.