QuestionIdentify the property of equality used to solve $9x=88$ to get $x=9 \frac{7}{9}$ . Options: A, B, C, D.

Studdy Solution

STEP 1

Assumptions1. We are given the equation $9x =88$ . . The equation is then transformed into $\frac{9x}{9} = \frac{88}{9}$ .
3. The final result is $x =9\frac{7}{9}$ .
4. We are asked to identify which property of equality was used to transform the original equation into the final result.

STEP 2

The transformation from the first equation to the second equation involves dividing both sides of the equation by the same number.In this case, both sides of the equation $9x =88$ are divided by9, resulting in $\frac{9x}{9} = \frac{88}{9}$ .

STEP 3

The property of equality that states that if you divide both sides of an equation by the same nonzero number, the two sides remain equal is known as the division property of equality.

STEP 4

Therefore, the property of equality used to solve the given equation is the division property of equality.
The answer is D. Division property of equality.

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