Question

3.a. Use the distributive property to rewrite the equation.

Enter the new equation as your answer.
3(2x - 1) + 4 = 7
Enter your answer
4.b. Combine any like terms to rewrite the equation that you entered as an answer in part a.
Enter the new equation as your answer.
Enter your answer
5.c. Use addition or subtraction to rewrite the equation that you entered as an answer in part b.
Enter the new equation as your answer.
Enter your answer
6.d. Use multiplication or division to rewrite the equation that you entered as an answer in part c.
Enter the new equation as your answer.

Answer 1

Hey there!

Part A

3(2x-1)+4=7

6x-3+4=7

Part B

6x+1=7

Part C.

6x+1-1=7-1

6x=6

Part D.

6x/6=6/6

x=1

Let me know if this helps :)

Answer 2

3. 6x -3 +4 = 7

4. 6x +1 = 7

5. 6x = 6

6. x = 1

Explanation:

3. The distributive property allows you to eliminate parentheses by multiplying the outside factor by every term inside.

3(2x -1) +4 = 7 . . . . . . given

3(2x) +3(-1) +4 = 7 . . . . using the distributive property

6x -3 +4 = 7 . . . . . . . finishing the evaluation of those products

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4. The only like terms that can be combined are the two constant terms on the left side. We simply add them up.

6x +1 = 7

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5. Using the subtraction property of equality, we can subtract 1 from both sides of the equation. We choose to do this so that the x-term is by itself.

6x +1 -1 = 7 -1

6x = 6

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6. Using the division property of equality, we can divide both sides of the equation by 6. We choose to do this so the new coefficient of x is 1.

6x/6 = 6/6

x = 1

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Additional comment

You're told to apply these steps without any explanation as to why or what the goal may be. We assume you're supposed to realize that you can use these steps to solve the equation. Of course, you can use different values for addition (or subtraction) or multiplication (or division). Doing so may satisfy the literal interpretation of the question, but won't get you a solution to the equation.