Which of the following indicates the division property of equality when solving [tex]-12x = 48[/tex]? The slashes represent a fraction.

A. [tex]x = \frac{1}{4}[/tex]
B. [tex]\frac{-12x}{12} = \frac{48}{-12}[/tex]
C. [tex]-12x = \frac{48}{-12}[/tex]
D. [tex]x = \frac{48}{12}[/tex]

The division property of equality by dividing both sides of the equation -12x = 48 by -12 to isolate the variable x, resulting in the solution x = -4, thus the correct option is C. -12x = 48/-12, which simplifies to x = -4.

Explanation:

To solve the equation -12x = 48, we need to isolate x. The division property of equality states that if we divide both sides of an equation by the same non-zero number, the equation remains true. In this case, we want to divide both sides by -12 to isolate x.

Starting with -12x = 48, we can apply the division property by dividing both sides by -12:

-12x / -12 = 48 / -12

This simplifies to:

x = -4

So, the value of x that satisfies the equation is x = -4. This demonstrates the division property of equality, where both sides of the equation remain equal when we divide by the same non-zero number.

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Which of the following indicates the division property of equality when solving [tex]-12x = 48[/tex]? The slashes represent a fraction.A. [tex]x = \frac{1}{4}[/tex] B. [tex]\frac{-12x}{12} = \frac{48}{-12}[/tex] C. [tex]-12x = \frac{48}{-12}[/tex] D. [tex]x = \frac{48}{12}[/tex]

Answer :

Final Answer:

Explanation:

Other Questions

Which of the following indicates the division property of equality when solving [tex]-12x = 48[/tex]? The slashes represent a fraction.

A. [tex]x = \frac{1}{4}[/tex]
B. [tex]\frac{-12x}{12} = \frac{48}{-12}[/tex]
C. [tex]-12x = \frac{48}{-12}[/tex]
D. [tex]x = \frac{48}{12}[/tex]