can you please check this problem for me, and if I happen to get it wrong. explain it?

thank you =]].

-6x=54 this is the problem.

-6x =54
+6 +6
x = 48

?? is this right
please respond.

=]]

You are not allowed to add 6 to 6x

Here is a way to do it

-6 x = 54
multiply both sides of this equation by (-1/6)

(-1/6) * (-6 x) - (-1/6) * 54

1 x = -54/6

x = -9
------------------
NOW check that
-6 (-9) = ??? 54
54 = 54 sure enough

oh that makes it easier.

thank
you but im kinda still having trouble
can you help?

-38 > t - 46

Hello. We have an inequality question here.

We have:

-38 > t - 46....This is read: "negative 38 is greater than the value of t minus negative 46."

We need to find a number that is bigger than t without revealing what t will be.

To find the value of t, add 46 to both sides of the inequality.

-38 + 46 > -46 + 46

The right side becomes zero because a positive and a negative always result in zero.

We are left with:

8 > t as your final answer.

============================

What does 8 > t really mean?

It means that whatever the value of t is, it MUST BE less than 8 in order to make your original inequality a TRUE statement.

This is what I mean.

You were given:

-38 > t - 46

Our answer is 8 > t, right?

I will select a value for t than is less than 8 and one that is greater than 8. You will see that the value for t less than 8 will yield a true statement.

Let's say that t = 6. I will replace t with 6 and simplify.

-38 > 6 - 46 becomes -38 > -40.

It is TRUE that -38 is greater than
-40 because -38 is closer to zero.

How about if I let t = 9.

You were given:

-38 > t - 46

If t = 9, we have this:

-38 > 9 -46 becomes -38 > -37....This is a FALSE statement.

Why FALSE? Because -38 is NOT bigger than -37. When t = 9, we get -37 and
-37 is closer to zero; this is the reason why the statement is false when we select values for t that are greater than 8.

Did you follow?

This is the reason why your final answer is 8 > t.

What is t? The values for t (whatever you choose to let t be) MUST BE less than the number 8.

That's it!

To check whether or not this is the correct solution, we can substitute the value of x back into the original equation and see if it satisfies the equation.

Given equation: -6x = 54

Let's substitute x = 48 back into the equation:

-6(48) = 54

Applying the multiplication:

-288 = 54

This statement is not true, which means that x = 48 is not a valid solution to the equation.

Now let's go through the process together to find the correct solution:

Start with the equation: -6x = 54

Step 1: Isolate the variable by dividing both sides of the equation by -6

(-6x) / -6 = 54 / -6

Simplifying:

x = -9

Therefore, the correct solution to the equation -6x = 54 is x = -9, not x = 48.

It's important to always double-check your work by substituting the obtained solution back into the original equation to verify its accuracy.