Question

16.5 + 2.75h = 9h + 7.5 − 4.25h for h. please show how you got

Answer 1

h = 1.2

Explanation:

1.) Isolate the variable H. To isolate the variable H, you have to move numbers onto one side and variable onto another. I will show this process in the next steps:
2.) First, move the numbers onto one side. You will subtract 7.5 on both sides, ending up with 16.5 - 7.5 + 2.75h = 9h - 4.25h.

3.) Now, move the variable to one side. You will subtract 2.75h on both sides, and get 16.5 - 7.5 = 9h - 4.25h + 2.75h.

4.) Finally, Simplify. 16.5 - 7.5 = 9. 9h - 4.25h + 2.75h = 7.5h. Therefore, 7.5h = 9.
5.) If we divide both sides by 7.5, we get h = 9/7.5, which is 1.2. By this, h = 1.2

Answer 2

h = 4.5

Explanation:

16.5 + 2.75h = 9h + 7.5 − 4.25h

Combine like terms on the right side.

16.5 + 2.75h = 4.75h + 7.5

Subtract 4.75 h from both sides.

16.5 - 2h = 7.5

Subtract 16.5 from both sides.

-2h = -9

Divide both sides by -2.

h = 4.5