Question

22.9696=22.9898x+21.9944(1-x)

Answer 1

Given the expression:

`22.9696=22.9898x+21.9944\mleft(1-x\mright)`

Let's simplify and determine x.

Get,

`22.9696=22.9898x+21.9944(1-x)`
`22.9696=22.9898x+21.9944-21.9944x`

Let's proceed adding/subtracting like terms:

`22.9696=22.9898x+21.9944-21.9944x`
`21.9944x\text{-}22.9898x\text{ = }21.9944\text{-}22.9696`
`\text{ -0.9954x = -0.9752}`
`\frac{\text{ -0.9954x}}{-0.9954}\text{ = }\frac{\text{-0.9752}}{-0.9954}`
`\text{ x = 0.9797066506 }\approx\text{ 0.9797}`

Therefore, x = 0.9797