Classify the following equation and show your work for 7x + 4 = 18 and tell if it is a) true b) false c) open

Question

Choose the correct answer

Answer 1

The equation 7x + 4 = 18 is a simple linear equation in one variable x.

To determine if the equation is true, false, or open, we need to solve it for x and see if it satisfies the equation.

7x + 4 = 18

Subtracting 4 from both sides:

7x = 14

Dividing both sides by 7:

x = 2

Now we substitute the value of x back into the original equation:

7(2) + 4 = 14 + 4 = 18

Since the equation holds true when x = 2, the answer is a) true.

Answer 2

I understand dividing both side by 7 we get x = 2. Since the value of x can be determined the equation is an OPEN equation, meaning it has a solution

Answer 3

I apologize for the confusion in my previous response. You are correct. Since the value of x can be determined and the equation has a solution, the correct answer is c) open. Thank you for pointing that out.