Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Discover in-depth solutions to your questions from a wide range of experts on our user-friendly Q&A platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

Twice the difference of a number and 2 is added to 6 and the result is 4 more than 3 times the number.

Sagot :

absor201

Answer:

Please check the explanation.

Step-by-step explanation:

Given the statement:

''Twice the difference of a number and 2 is added to 6 and the result is 4 more than 3 times the number''.

Let us break down the statement into an algebraic expression.

First Portion:

Let the number be: n

The difference of a number n and 2: n -2

Twice the difference of a number n and 2: 2(n-2)

Twice the difference of a number and 2 is added to 6 = 2(n-2) + 6

Second Portion:

3 times the number n:  3n

4 more than 3 times the number: 3n + 4

Combine the First portion and Second Portion:

Twice the difference of a number and 2 is added to 6 and the result is 4 more than 3 times the number:

2(n - 2) + 6 = 3n + 4

Therefore, the required algebraic expression is:

  • 2(n - 2) + 6 = 3n + 4

BONUS SOLUTION to determine the number n

Let us solve the expression

2(n - 2) + 6 = 3n + 4

2n - 4 + 6 = 3n + 4

flip the equation

3n + 4 = 2n - 4 + 6

3n + 4 = 2n + 2

3n - 2n = 2 - 4

n = -2

Thus, the value of n = -2

We hope this information was helpful. Feel free to return anytime for more answers to your questions and concerns. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.