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.

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)
please help me!

Answer 1

5(x – 3) = x + 13 with x = 6 substituted: 5(6 – 3) = 6 + 13

Simplifying both sides: 5(3) = 6 + 13

15 = 19

x = 6 is not a solution to the equation because when you substitute it, the left side of the equation (15) does not equal the right side of the equation (19).

To find a value of x that is a solution to the equation, we can start by solving for x:

5(x – 3) = x + 13

5x – 15 = x + 13

4x = 28

x = 7

So, x = 7 is a solution to the equation 5(x – 3) = x + 13. To find this solution, we first substituted x = 7 into the equation and simplified both sides to see if they were equal.

Explanation: