At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.
Sagot :
To solve the linear equation:
[tex]\[ -12 + 3b - 1 = -5 - b \][/tex]
we'll follow a step-by-step approach:
1. Combine like terms on each side of the equation:
- On the left side, combine [tex]\(-12\)[/tex] and [tex]\(-1\)[/tex]:
[tex]\[ -12 - 1 + 3b = -13 + 3b \][/tex]
- On the right side, we have:
[tex]\[ -5 - b \][/tex]
So the equation is now:
[tex]\[ -13 + 3b = -5 - b \][/tex]
2. Move all terms involving [tex]\(b\)[/tex] to one side and constant terms to the other side:
- Add [tex]\(b\)[/tex] to both sides:
[tex]\[ -13 + 3b + b = -5 \][/tex]
- Simplify the terms:
[tex]\[ -13 + 4b = -5 \][/tex]
3. Isolate the term with [tex]\(b\)[/tex]:
- Add 13 to both sides to move the constants to the right side:
[tex]\[ -13 + 13 + 4b = -5 + 13 \][/tex]
Simplifying, this becomes:
[tex]\[ 4b = 8 \][/tex]
4. Solve for [tex]\(b\)[/tex]:
- Divide both sides by 4 to isolate [tex]\(b\)[/tex]:
[tex]\[ b = \frac{8}{4} \][/tex]
[tex]\[ b = 2 \][/tex]
Therefore, the solution to the equation [tex]\(-12 + 3b - 1 = -5 - b\)[/tex] is [tex]\(\boxed{2}\)[/tex].
[tex]\[ -12 + 3b - 1 = -5 - b \][/tex]
we'll follow a step-by-step approach:
1. Combine like terms on each side of the equation:
- On the left side, combine [tex]\(-12\)[/tex] and [tex]\(-1\)[/tex]:
[tex]\[ -12 - 1 + 3b = -13 + 3b \][/tex]
- On the right side, we have:
[tex]\[ -5 - b \][/tex]
So the equation is now:
[tex]\[ -13 + 3b = -5 - b \][/tex]
2. Move all terms involving [tex]\(b\)[/tex] to one side and constant terms to the other side:
- Add [tex]\(b\)[/tex] to both sides:
[tex]\[ -13 + 3b + b = -5 \][/tex]
- Simplify the terms:
[tex]\[ -13 + 4b = -5 \][/tex]
3. Isolate the term with [tex]\(b\)[/tex]:
- Add 13 to both sides to move the constants to the right side:
[tex]\[ -13 + 13 + 4b = -5 + 13 \][/tex]
Simplifying, this becomes:
[tex]\[ 4b = 8 \][/tex]
4. Solve for [tex]\(b\)[/tex]:
- Divide both sides by 4 to isolate [tex]\(b\)[/tex]:
[tex]\[ b = \frac{8}{4} \][/tex]
[tex]\[ b = 2 \][/tex]
Therefore, the solution to the equation [tex]\(-12 + 3b - 1 = -5 - b\)[/tex] is [tex]\(\boxed{2}\)[/tex].
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.