Use inverse operations to solve each equation. Explain each step and identify the property used to reach step.
19 = h/3 - 8
19 = h/3 - 8
Add 8 to both sides.
27 = h/3
Multiply both sides by 3.
81 = h
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To solve the equation 19 = h/3 - 8 using inverse operations, we need to isolate the variable h by undoing each operation one step at a time. Here's how:
Step 1: Undo the subtraction by adding 8 to both sides of the equation:
19 + 8 = h/3 - 8 + 8
27 = h/3
In this step, we used the addition property of equality, which states that if we add the same value to both sides of an equation, the equality still holds.
Step 2: Undo the division by multiplying both sides of the equation by 3:
27 * 3 = h/3 * 3
81 = h
In this step, we used the multiplication property of equality, which states that if we multiply both sides of an equation by the same value, the equality still holds.
Therefore, the solution to the equation 19 = h/3 - 8 is h = 81.