ben is solving the equation 5x-1=19. He says that first he will subtract 1 from both sides, then multiply both sides by 5. Explain ben's error.

Respuesta :

The given equation is 5x-1=19, and we need to solve for x.
First, Ben says that he will first subtract 1 from both sides, which incorrect. If you subtract 1 from each side, the equation will be :
5x-1-1=19-1
5x-2=18
This is completely useless. Because to solve x, you need to have variables on a side, and the numbers on the other. So instead, he should add 1 in both sides so you can eliminate the "-1" in the first side:
5x-1+1 = 19+1
5x=20

Then, he said that he will multiply both sides by 5, which is too incorrect. Because if you multiply by 5, the equation will be:
25x=100
In this case, you didn't find x, but you found 25x. Which is useless too. So, to remove the "5" from 5x", You should divide both sides by 5, you can have "x" alone on a side, and find its value:
(5x)/5 = 20/5
x=4
We solved for x, and corrected Ben's error.

You can re-check your answer (Very important):
5x-1=19
5*4-1=19
20-1 = 19
The answer has been approved.

Hope this Helps! :)