QuestionWhen solving for the value of in the equation , Aaron wrote the following lines on the boarc
[line 1]
[line 2]
[line 3]
[line 4]
[line 5]
Which property was used incorrectly when going from line 2 to line 3 ?
1) distributive
3) associative
2) commutative
4) multiplicative inverse
Studdy Solution
STEP 1
1. The equation given is .
2. Aaron is attempting to solve for by simplifying the equation step by step.
3. We need to identify which mathematical property was used incorrectly in the transition from line 2 to line 3.
STEP 2
1. Review each step of Aaron's solution.
2. Identify the mathematical property used in each transition.
3. Determine which property was used incorrectly in the transition from line 2 to line 3.
STEP 3
Review each step of Aaron's solution:
- Line 1: is the original equation.
- Line 2: is obtained by subtracting 3 from both sides.
- Line 3: is the result of an incorrect application of a property.
STEP 4
Identify the mathematical property used in each transition:
- From Line 1 to Line 2: Subtraction property of equality (subtracting 3 from both sides).
- From Line 2 to Line 3: Attempted use of the distributive property.
STEP 5
Determine which property was used incorrectly in the transition from line 2 to line 3:
- The transition from Line 2 to Line 3 should apply the distributive property correctly: should become , not .
Thus, the distributive property was used incorrectly.
The incorrect property used in the transition from line 2 to line 3 is the distributive property, so the answer is .
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