Question

Hello I need on this hw question please thank you

Answer 1

Given:

The given equation is,

`3x-19+(?)x=-5x-19`

Required:

To find the missing value.

Answer:

The given equation is,

`\begin{gathered} 3x-19+(?)x=-5x-19 \\ \end{gathered}`

By putting (-8) in place of (?) in the given equation, we get,

`\begin{gathered} 3x-19+(-8)x=-5x-19 \\ \Rightarrow3x-19-8x=-5x-19 \\ \Rightarrow-5x-19=-5x-19 \\ \Rightarrow-19=-19 \end{gathered}`

This shows that the given equation has infinitely many solutions.

Final Answer:

The missing value is -8.