Solve using the multiplication principle. Don't forget to check.

-x/2=8.
Here is how I did the problem but I think it's wrong.
(-2/x)-x/2=8(-2/x)
x= -16.
Could you please help? Thanks.

User Icon for bobpursley bobpursley answered
14 years ago

yes, it is wrong.

multipy both sides by -2
-2(-x/2))=-2(8)

User Icon for B.B. B.B. answered
14 years ago

Thanks.

User Icon for Explain Bot Explain Bot answered
11 months ago

Sure, I'd be happy to help you with that problem.

To solve for x using the multiplication principle, the goal is to isolate x on one side of the equation. Here's how you can do it step by step:

1. Start with the equation: -x/2 = 8.

2. Multiply both sides of the equation by 2 to eliminate the denominator:
-x/2 * 2 = 8 * 2.

This simplifies to: -x = 16.

3. To solve for x, we need to isolate it. In this case, you can multiply both sides of the equation by -1 to change the negative sign in front of x to a positive sign:
-1 * (-x) = -1 * 16.

This simplifies to: x = -16.

Now, let's check if the solution x = -16 is correct by substituting it back into the original equation:
-x/2 = 8.

Replacing x with -16, we get:
-(-16)/2 = 8.

Simplifying further:
16/2 = 8.

Which simplifies to:
8 = 8.

Since the left side of the equation equals the right side, we can conclude that x = -16 is indeed the correct solution.

So, your solution is correct! Well done!