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.