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QuestionComplete the statements based on the steps of solving 34x−6=−9\frac{3}{4} x - 6 = -9. What property was applied in steps 2 and 4?

Studdy Solution

STEP 1

Assumptions1. The given equation is 34x−6=−9\frac{3}{4} x-6=-9 . The steps shown in the table are correct

STEP 2

In step2, the equation 4x−6+6=−9+6\frac{}{4} x-6+6=-9+6 is shown. This step is adding6 to both sides of the equation. This is an application of the Addition Property of Equality, which states that if you add the same number to both sides of an equation, the equation remains true.

STEP 3

In step, the equation 3⋅3x=3⋅(−3)\frac{}{3} \cdot \frac{3}{} x=\frac{}{3} \cdot(-3) is shown. This step is multiplying both sides of the equation by 3\frac{}{3}. This is an application of the Multiplication Property of Equality, which states that if you multiply both sides of an equation by the same nonzero number, the equation remains true.

STEP 4

Therefore, the properties applied in steps2 and4 are the Addition Property of Equality and the Multiplication Property of Equality, respectively.

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