Answer :
To solve the equation
[tex]$$-12x = 48,$$[/tex]
we can use the division property of equality. This property tells us that if two expressions are equal, then dividing both sides by the same nonzero number preserves the equality.
Starting with
[tex]$$-12x = 48,$$[/tex]
we divide both sides by [tex]$-12$[/tex]. This gives:
[tex]$$\frac{-12x}{-12} = \frac{48}{-12}.$$[/tex]
On the left-hand side, dividing [tex]$-12x$[/tex] by [tex]$-12$[/tex] simplifies to [tex]$x$[/tex]:
[tex]$$x = \frac{48}{-12}.$$[/tex]
Thus, the division property was used in the step where both sides were divided by [tex]$-12$[/tex], namely:
[tex]$$\frac{-12x}{-12} = \frac{48}{-12}.$$[/tex]
Therefore, the correct option is:
A) [tex]$\frac{-12x}{-12} = \frac{48}{-12}$[/tex].
Finally, after calculating the right-hand side, we find:
[tex]$$x = -4.$$[/tex]
So the final answer is option A.
[tex]$$-12x = 48,$$[/tex]
we can use the division property of equality. This property tells us that if two expressions are equal, then dividing both sides by the same nonzero number preserves the equality.
Starting with
[tex]$$-12x = 48,$$[/tex]
we divide both sides by [tex]$-12$[/tex]. This gives:
[tex]$$\frac{-12x}{-12} = \frac{48}{-12}.$$[/tex]
On the left-hand side, dividing [tex]$-12x$[/tex] by [tex]$-12$[/tex] simplifies to [tex]$x$[/tex]:
[tex]$$x = \frac{48}{-12}.$$[/tex]
Thus, the division property was used in the step where both sides were divided by [tex]$-12$[/tex], namely:
[tex]$$\frac{-12x}{-12} = \frac{48}{-12}.$$[/tex]
Therefore, the correct option is:
A) [tex]$\frac{-12x}{-12} = \frac{48}{-12}$[/tex].
Finally, after calculating the right-hand side, we find:
[tex]$$x = -4.$$[/tex]
So the final answer is option A.
