Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

stery Test
Type the correct answer in the box. Use numerals instead of words.
5 less than a number is equivalent to 1 more than three times the number.
The number is
Reset
Next

Sagot :

GinnyAnswer
To solve the problem where 5 less than a number is equivalent to 1 more than three times the number, we can follow these detailed steps:

1. Let the unknown number be [tex]\( x \)[/tex].
2. Translate the word problem into an algebraic equation:
[tex]\[ x - 5 = 3x + 1 \][/tex]
3. Isolate the variable [tex]\( x \)[/tex] on one side of the equation. Start by moving all terms involving [tex]\( x \)[/tex] to one side and constants to the other side:
[tex]\[ x - 5 - 3x = 3x + 1 - 3x \][/tex]
Simplify both sides:
[tex]\[ x - 3x - 5 = 1 \][/tex]
4. Combine like terms:
[tex]\[ -2x - 5 = 1 \][/tex]
5. Add 5 to both sides to get the term with [tex]\( x \)[/tex] alone:
[tex]\[ -2x - 5 + 5 = 1 + 5 \][/tex]
[tex]\[ -2x = 6 \][/tex]
6. Divide both sides by -2 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{6}{-2} = -3 \][/tex]

Therefore, the number is [tex]\( -3 \)[/tex].
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.