Question

The product of 3, and a number increased by -7, is -36

Answer 1

The answer is:

z = -5

Work/explanation:

The product means we multiply two numbers.

Here, we multiply 3 and a number increased by -7; let that number be z.

So we have

`\sf{3(z+(-7)}`

simplify:

`\sf{3(z-7)}`

This equals -36

`\sf{3(z-7)=-36}`

`\hspace{300}\above2`

`\frak{solving~for~z}`

Distribute

`\sf{3z-21=-36}`

Add 21 on each side

`\sf{3z=-36+21}`

`\sf{3z=-15}`

Divide each side by 3

`\boxed{\boxed{\sf{z=-5}}}`

Answer 2

┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈

✦ The number is - 5

┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈

`\begin{gathered} \; \sf{\color{pink}{Let \; the \; other \; number \; be \; (x)::}} \\ \end{gathered}`

Atq,,

`\begin{gathered} \; \color{skyblue} :\dashrightarrow \: \tt{3 * \bigg \lgroup \: x + ( - 7) \bigg \rgroup = - 36} \\ \\ \end{gathered}`

`\begin{gathered} \; \color{skyblue} :\dashrightarrow \: \tt{3 * \bigg \lgroup \: x - 7 \bigg \rgroup = - 36} \\ \\ \end{gathered}`

`\begin{gathered} \; \color{skyblue} :\dashrightarrow \: \tt{3x - 21 = - 36} \\ \\ \end{gathered}`

`\begin{gathered} \; \color{skyblue} :\dashrightarrow \: \tt{3x = - 36 + 21} \\ \\ \end{gathered}`

`\begin{gathered} \; \color{skyblue} :\dashrightarrow \: \tt{3x = - 15} \\ \\ \end{gathered}`

`\begin{gathered} \; \color{skyblue} :\dashrightarrow \: \tt{x = \frac{\cancel{ - 15}}{\cancel{ \: 3}}} \qquad \bigg \lgroup \sf{Cancelling \: by \: 3} \bigg \rgroup \\ \\ \end{gathered}`

`\begin{gathered} \; \color{pink} :\dashrightarrow \underline{\color{pink}\boxed{\colorbox{black}{x = - 5}}} \: \pmb{\bigstar} \\ \\ \end{gathered}`