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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

Inverse operation of division is multiplication.

Multiply both sides by 3

81 = h

h = 81

the correct answerStep 1: Simplify both sides of the equation.

19=
h
3
−8
19=
1
3
h+−8
19=
1
3
h−8
Step 2: Flip the equation.
1
3
h−8=19
Step 3: Add 8 to both sides.
1
3
h−8+8=19+8
1
3
h=27
Step 4: Multiply both sides by 3.
3*(
1
3
h)=(3)*(27)
h=81
Answer:
h=81

To solve the equation using inverse operations, we need to isolate the variable h.

Step 1: Add 8 to both sides of the equation to get rid of the constant term.
19 + 8 = h/3 - 8 + 8
27 = h/3

The property used in this step is the Addition Property of Equality.

Step 2: To get rid of the fraction, multiply both sides of the equation by 3.
27 * 3 = (h/3) * 3
81 = h

The property used in this step is the Multiplication Property of Equality.

Therefore, the solution to the equation is h = 81.

To solve the equation 19 = h/3 - 8 using inverse operations, we need to isolate the variable h on one side of the equation.

Step 1: Start by adding 8 to both sides of the equation to remove the -8 term from the right side:
19 + 8 = h/3 - 8 + 8

Simplifying the equation:
27 = h/3

Step 2: Next, multiply both sides of the equation by 3 to get rid of the denominator on the right side:
3 * 27 = 3 * (h/3)

Simplifying the equation:
81 = h

To summarize the steps used:

Step 1: Added 8 to both sides of the equation to remove the -8 term on the right side.
Property used: Addition Property of Equality.

Step 2: Multiplied both sides of the equation by 3 to get rid of the denominator on the right side.
Property used: Multiplication Property of Equality.

Finally, we find that h = 81.