Question

What is you answer and how many solutions for the following 3r- 9=3(r + 3)

Answer 1

`\large\boxed{\textsf{No Solutions.}}`

Explanation:

`\textsf{We are asked to identify how many solutions are possible for r.}`

`\textsf{First, we should simplify the given equation.}`

`\textsf{For one part of the equation, we have to use the \underline{Distributive Property}.}`

`\Large\underline{\textsf{What is the Distributive Property?}}`

`\textsf{The \underline{Distributive Property} is a property used to distribute the \underline{multiplier} into}`

`\textsf{values \underline{inside} the parentheses.}`

`\textsf{Let's begin simplifying the equation.}`

`\large\underline{\textsf{Simplify.}}`

`\mathtt{3r-9=3(r+3)}`

`\large\underline{\textsf{Distribute:}}`

`\mathtt{3r-9=(3 * r)+(3 * 3)}`

`\mathtt{3r-9=3r+9}`

`\large\boxed{\textsf{No Solutions.}}`

`\large\underline{\textsf{Why?:}}`

`\textsf{Any value that is substituted into r will \underline{never} make the equation true.}`

Answer 2

0

Explanation:

3r-9=3(r+3)

3r-9=3r+9

collect like terms

3r-3r=9-9

r=0