Question

Solve the equation using algebraic proof to solve the following equation: 5x+3=5x+9

State whether your result represents one solution, no solutions, or infinite solutions.

Answer 1

To solve the equation 5x + 3 = 5x + 9, we can start by simplifying the equation:

Subtracting 5x from both sides, we get:

5x - 5x + 3 = 5x - 5x + 9

Simplifying further, we have:

3 = 9

Now, when we compare 3 and 9, we can see that they are not equal. Therefore, the equation 5x + 3 = 5x + 9 has no solutions.

In other words, there is no value of x that will make the equation true.

Explanation: