Question
upstudy study bank question image url

\( \begin{array}{ll}\text { 3. } & 4 a+1=-11 \\ \text { 4. } & 6 b-3=9 \\ \text { 5. } & 5 c+8=3\end{array} \)

Ask by Klein Ross. in the United States
Jan 23,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

The solutions are: - \( a = -3 \) - \( b = 2 \) - \( c = -1 \)

Solution

Certainly! Let's solve each of the equations step by step. --- ### **3. \( 4a + 1 = -11 \)** **Step 1:** Subtract 1 from both sides to isolate the term with \( a \). \[ 4a + 1 - 1 = -11 - 1 \] \[ 4a = -12 \] **Step 2:** Divide both sides by 4 to solve for \( a \). \[ \frac{4a}{4} = \frac{-12}{4} \] \[ a = -3 \] --- ### **4. \( 6b - 3 = 9 \)** **Step 1:** Add 3 to both sides to isolate the term with \( b \). \[ 6b - 3 + 3 = 9 + 3 \] \[ 6b = 12 \] **Step 2:** Divide both sides by 6 to solve for \( b \). \[ \frac{6b}{6} = \frac{12}{6} \] \[ b = 2 \] --- ### **5. \( 5c + 8 = 3 \)** **Step 1:** Subtract 8 from both sides to isolate the term with \( c \). \[ 5c + 8 - 8 = 3 - 8 \] \[ 5c = -5 \] **Step 2:** Divide both sides by 5 to solve for \( c \). \[ \frac{5c}{5} = \frac{-5}{5} \] \[ c = -1 \] --- ### **Summary of Solutions** - \( a = -3 \) - \( b = 2 \) - \( c = -1 \) If you have any further questions or need additional assistance, feel free to ask!

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Bonus Knowledge

To solve these equations, you'll want to isolate the variable on one side. For example, in the first equation, \(4a + 1 = -11\), subtract 1 from both sides to get \(4a = -12\). Then, divide both sides by 4 to find \(a = -3\). Moving on to the second equation \(6b - 3 = 9\), add 3 to both sides to have \(6b = 12\). Divide by 6 to discover that \(b = 2\). Finally, for the third equation \(5c + 8 = 3\), subtract 8 from both sides to get \(5c = -5\), and then divide by 5 to find \(c = -1\). Now we have: 1. \(a = -3\) 2. \(b = 2\) 3. \(c = -1\)

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy