Question

2/5h-7=12/5h-2h+3

Is this equation no solution? How? Show your work

Answer 1

To solve this problem, we simply need to solve this equation by adding like terms and isolating the x.

Let's look at the problem. We can see that we can move that variable h on the left side to the right side so we can combine all like terms on that variable and simplify. In order to do this, we subtract 2/5h from both sides.

`-7=(12)/(5)h-2h+3-(2)/(5)h`

We can subtract the fractional variables to get 10/5h. If we simplify this, we would get 2h.

`-7=2h-2h+3`

Let's combine the 2h and we get 0.

-7=3

Is this statement true? No. So yes, this equation would be no solution because the two numbers do not equal to each other.