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.
yes, it is wrong.
multipy both sides by -2
-2(-x/2))=-2(8)
Thanks.
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!