Answer:
Therefore the value of given expression when r = 14 and s = 8 is
![(3)/(7)* r + (5)/(8)* s=11](https://img.qammunity.org/2021/formulas/mathematics/high-school/eu49ofa9ux28vam8n2czk23p8vfyj0qvv0.png)
Explanation:
Given:
![(3)/(7)* r + (5)/(8)* s](https://img.qammunity.org/2021/formulas/mathematics/high-school/m53pnkehh1srhgxmiceaqhuw9xb367h8gl.png)
To Find:
Value of above equation when r = 14 and s = 8
Solution:
.............Given
Put,
![r=14\\s=8](https://img.qammunity.org/2021/formulas/mathematics/high-school/5xg1y8hfnhjal4k0j8xfvnr7cx4spajioh.png)
![(3)/(7)* r + (5)/(8)* s=(3)/(7)* 14 + (5)/(8)* 8](https://img.qammunity.org/2021/formulas/mathematics/high-school/gg0rztvjxanafiwvlykfmzcaccenve54uq.png)
Now 7 × 2 = 14 and 8 will cancel each other we get
![(3)/(7)* r + (5)/(8)* s=3* 2 + 5=6+5=11](https://img.qammunity.org/2021/formulas/mathematics/high-school/m4z271u6ibyzixwp89kwts79zwmm3lwnvr.png)
Therefore the value of given expression is
![(3)/(7)* r + (5)/(8)* s=11](https://img.qammunity.org/2021/formulas/mathematics/high-school/eu49ofa9ux28vam8n2czk23p8vfyj0qvv0.png)