Enter your answer and show all steps that you use to solve this problem in the space provided. Write an equation with a variable on both sides of the equal sign that has no solution. Solve the equation and explain why it has no solution

Question

Enter your answer and show all steps that you use to solve this problem in the space provided. Write an equation with a variable on both sides of the equal sign that has no solution. Solve the equation and explain why it has no solution

Answer 1

Let's create the equation 2x - 5 = 2x + 3 as an example of an equation with a variable on both sides that has no solution.

2x - 5 = 2x + 3

Subtract 2x from both sides to get rid of the variable on both sides:

-5 = 3

However, it is clear that -5 cannot be equal to 3. Therefore, the equation has no solution. This is because the variable x was eliminated during the simplification process and resulted in a false statement.