EllinoreV238467 EllinoreV238467
  • 25-10-2022
  • Mathematics
contestada

Solve for u-6u+3(u-3)=12

Respuesta :

KermitM427140 KermitM427140
  • 25-10-2022

Answer: u=7

Given:

[tex]-6u+3(u-3)=12[/tex]

- Distribute 3(u-3):

[tex]\begin{gathered} -6u+3(u-3)=12 \\ \Rightarrow-6u+3u-9=12 \end{gathered}[/tex]

- Combine like terms:

[tex]\begin{gathered} \begin{equation*} -6u+3u-9=12 \end{equation*} \\ \Rightarrow-6u+3u=12+9 \\ \Rightarrow-3u=21 \end{gathered}[/tex]

- Divide both sides by -3:

[tex]\begin{gathered} \begin{equation*} -3u=21 \end{equation*} \\ \Rightarrow\frac{-3u}{-3}=\frac{21}{-3} \\ \Rightarrow u=7 \end{gathered}[/tex]

Therefore, u=7.

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