To evaluate the expression for the given values of X and Y, all we need to do is to substitute the values.
It is important to remember that:
- The multiplication of a negative number by a positive number will always result in a negative number.
- The division of numbers with same signal (positive and positive, or negative and negative) will always result in a positive number.
[tex]\frac{5x}{x-y}=\frac{5\times(-1)}{-1-6}=\frac{-5}{-7}=\frac{5}{7}[/tex]From this, we conclude that the given expression is equal to:
[tex]\frac{5}{7}[/tex]