Answer:
The value of rational expression at x=5 is -2
Explanation:
Given:
![(15-x)/(x-10)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/pit3otezrnndmofqdy5twsnpfjxednz1gi.png)
We are given rational expression and need to find the value of expression at given value of x=5
So, we will put x=5 into the rational expression
![\Rightarrow (15-x)/(x-10)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/q2mw9fb5fxwyfvaakdfvbhvgmtlokswspf.png)
![\Rightarrow (15-5)/(5-10)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/8ukfnhvl30qpxpx750h8ckwn78hxkj2yfa.png)
Simplify numerator and denominator
![\Rightarrow (10)/(-5)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/veo8bcxntkj9hqjrggbsvae7smy2jbxoxn.png)
![\Rightarrow -2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/s94gmgu4byzf2zrjnnjiow9bimc38ag115.png)
Hence, The value of rational expression at x=5 is -2