Question

Your Assignment

Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. (2 points)














2. Simplify both sides. Show your work. (2 points)














3. Is x = 6 a solution to the equation? Why or why not? (3 points)














4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution. (3 points)
Your Assignment
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. (2 points)

2. Simplify both sides. Show your work. (2 points)

3. Is x = 6 a solution to the equation? Why or why not? (3 points)

4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution. (3 points)

Answer 1

6 is not the solution. 7 is the solution.

Explanation:

5(x -3) = x + 13 Substitute 6 for x

5(6 -3) = 6 + 13

5(3) = 19

15 ≠ 19

6 is not a solution because it results in a false statement. The two sides do not equal each other.

5(x - 3) = x + 13 Distribute the 5

5x -15 = x + 13 Subtract x from both sides

5x - x - 15 = x - x + 13

4x - 15 = 13 Add 15 to both sides

4x - 15 + 15 = 15 + 13

4x = 28 Divide both sides by 4

x = 7

7 is the solution to the equaion.