Solve the equation

Question

7.50h + 50/4h = 18h + 33

Answer 1

To solve the equation, we first need to simplify both sides:

Starting with the left side:
7.50h + 50/4h = (7.50h * 4 + 50)/4h
= (30h + 50)/4h

Now let's simplify the right side:
18h + 33

Now, let's set the left and right side equal to each other:
(30h + 50)/4h = 18h + 33

To eliminate the fractions, we can multiply both sides of the equation by 4h:
4h * (30h + 50)/4h = 4h * (18h + 33)
30h + 50 = 72h + 132

Next, we can simplify the equation and isolate the variable:
30h - 72h = 132 - 50
-42h = 82

To solve for h, we divide both sides of the equation by -42:
h = 82/-42
h = -41/21

Thus, the solution to the equation is h = -41/21.