What is the Solution to -54/x = -6?

A. X = 9
B. X = -6
C. X = 6
D. X = 9
I do not really understand this question can someone help me? (Not asking for a answer)

And whats the difference between |-8| and 8? Arnt they the same?

One last question i don't fully understand

9m = -63?
A. M= -57
B. M= -7
C M= 7
D M = 57

Again I am not asking for a answer i just need help understanding

Treat it as you always do fractions. Multiply by the denominator to clear the fraction:

-54/x = -6
-54 = -6x
Now it's a cinch, right?

|x| is the "size" of x, regardless of whether it is positive or negative. It is defined as
|x| = x if x >= 0
|x| = -x if x < 0
So,
|8| = 8
|-8| = -(-8) = 9
8 and -8 are both the same distance from zero.

9m = -63
just divide by 9
m = -7

Sure, I'd be happy to help you understand these questions.

Let's break down each question and explain how to find the solution without giving away the specific answer.

1. What is the Solution to -54/x = -6?
To solve this equation, you need to isolate the variable x. To do that, you can start by multiplying both sides of the equation by x to eliminate the denominator. This leaves you with -54 = -6x. Next, divide both sides of the equation by -6 to solve for x. Remember, when you divide by a negative number, it changes the direction of the inequality. After dividing, you will have the value of x. Finally, you can compare your answer with the given options (A, B, C, or D) to determine the correct solution.

2. What's the difference between |-8| and 8? Aren't they the same?
The absolute value of a number is its distance from zero on the number line. So, |-8| represents the distance of -8 from zero, which is 8. Therefore, |-8| is equal to 8, but it is not the same as -8. The absolute value function always returns a positive value or zero.

3. 9m = -63?
To solve this equation, you want to isolate the variable m. Divide both sides of the equation by 9 to get m = -63/9. Simplify the expression on the right-hand side to find the value of m. Again, after finding the solution, compare it with the given options (A, B, C, or D) to choose the correct answer.

Remember, it's important to understand the concepts behind the solutions and not just focus on finding the specific answers. Let me know if you have any further questions or need more clarification!