Question

Find the solution to the system: 0.5u−0.6v=0 0.4u+1.7v=10.9

Answer 1

`u = 6` &
`v=5` .

Explanation:

Here we need to find the solution to the system:
`0.5u-0.6v=0 ,0.4u+1.7v=10.9`

Let's solve both equations :

⇒
`0.5u-0.6v=0`

⇒
`0.5u=0.6v`

⇒
`u = (6)/(5)v`

Putting this value in equation :
`0.4u+1.7v=10.9`

⇒
`4u+17v=109` { Multiplying both sides by 10 }

⇒
`4((6)/(5)v )+17v=109`

⇒
`v((24)/(5) +17)=109`

⇒
`v(21.8)=109`

⇒
`v=5`

Putting this value in equation :
`u = (6)/(5)v`

⇒
`u = (6)/(5)(5)`

⇒
`u = 6`

Therefore ,
`u = 6` &
`v=5` .