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

2 Answers

6 votes

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}}}

User Brian Grinstead
by
8.3k points
2 votes

┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈

✦ 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}

User Gabriel Ilharco
by
7.6k points

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