Other people went into the original equation and check to show that each equation has no solution explain your work

1 answer

To show that the given equation has no solution, we can attempt to solve it and reach a contradiction. Let's work through an example:

Original equation: 2x + 5 = x + 7

Subtract x from both sides:
2x + 5 - x = x + 7 - x
x + 5 = 7

Now subtract 5 from both sides:
x + 5 - 5 = 7 - 5
x = 2

From the solution x = 2, we see that this equation does have a solution. Therefore, the original equation does not have no solution.

If we want to show that a different equation has no solution, we can follow the same steps and try to reach a contradiction.