2. Algebraic Proof
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Solve the equation to determine the steps involved. Then choose the Properties of Equality.
Statements
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Reasons
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a. 8-3x/4=32
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a. Given
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b. 4(8-3x/4)=4(32)
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b. Multiplication Property of Equality
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c. 8-3x=128
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c. Substitution Property of Equality
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d. - 3x=120
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d. Subtraction Property of Equality
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e. x=- 40
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e. Division Property of Equality
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We have been given a partially completed two-column proof. Consider the given statement and the desired result.
In order to complete the table, and prove that x=- 40, we will solve the equation.
We began by multiplying both sides of the equation by 4, which can be justified by the Multiplication Property of Equality. & b. 4(8-3x/4)=4(32) & b. Multiplication Property of Equality
Finally, we can view the completed proof table.
Statements
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Reasons
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a. 8-3x/4=32
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a. Given
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b. 4(8-3x/4)=4(32)
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b. Multiplication Property of Equality
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c. 8-3x=128
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c. Substitution Property of Equality
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d. - 3x=120
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d. Subtraction Property of Equality
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e. x=- 40
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e. Division Property of Equality
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