Asked by Taylor
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.
=]]
thank you =]].
-6x=54 this is the problem.
-6x =54
+6 +6
x = 48
?? is this right
please respond.
=]]
Answers
Answered by
Damon
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
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
Answered by
Taylor
oh that makes it easier.
thank
you but im kinda still having trouble
can you help?
-38 > t - 46
thank
you but im kinda still having trouble
can you help?
-38 > t - 46
Answered by
Guido
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!
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!
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.