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