Question

What is the solution to the equation?

Answer 1

if u answer i will medal and fan

Answer 2

i get the feeling this reply is gonna answer it all

Answer 3

dude r u even responding or r u afk

Answer 4

I can help you with this. :D
First, let's examine our equation:
\[\frac{ 1 }{ 3 }x + \frac{ 1 }{ 3 }(2x-15)=3.5\]
I am assuming the ''lonely'' term at the other side of the equation is a mixed number, so I converted that into decimal form. If it isn't, please let me know.
When you have fractions as coefficients of x, you can put x on top of the denominator. Let's see how that would look for our equation:
\[\frac{ x }{ 3 } + \frac{ 2x-15 }{ 3}=3.5\]
Now, we can add the fractions, since they have the same denominator:
\[\frac{ x+2x-15 }{ 3}=3.5\]
We can also simplify the numerator:
\[\frac{ 3x-15 }{ 3 }=3.5\]
I simply added ''x'' and ''2x''. If you look closely, the fraction can be simplified even more. We can ''split up'' the fraction into two smaller fractions:
\[\frac{ 3x }{ 3}- \frac{ 15 }{ 3}=3.5\]
The 3's in the first fraction cancel out, leaving x by itself. The second fraction can be simplified to 3 by division. Our equation is now reduced to:
\[x-5=3.5\]
Now, simply add 5 to both sides of the equation. Our answer is:
\[x=8.5\]

Just for safe measure, let's plug our answer into our equation to make sure it works. Let's see how that looks like:
\[\frac{ 1 }{ 3}(8.5) + \frac{ 1 }{ 3 }(2(8.5)-15)=3.5\]
Use a calculator to solve this. Using a calculator, we get:
\[2.8333333333 + \frac{ 1 }{ 3}(17-15)=3.5\]
Let's simplify that:
\[2.8333333333 + \frac{ 1 }{ 3 }(2)=3.5\]
We are almost done. Simplifying the second term on the left side gives us:
\[2.8333333333 + 0.6666666667=3.5\]
Adding the two numbers, we approximately get:
\[3.5 = 3.5\]
This means our answer works! :D
So, your answer is 8.5 for x. I hope I have helped! ^_^

Answer 5

dude thx so this is y it took so long

Answer 6

glad i waited

Answer 7

Yeah, I was here, I was just explaining my answer. Here it is in its entirety. This way, you know EXACTLY how I got the answer. You can also learn from the process and use it one day yourself. :D
You are welcome! If you need help on other problems, let me know or tag me. If I am around, I will be able to help you. :)

Answer 8

Oh, by the way, I made a typo on the explanation:
When I divided 15 by 3, I got 5. This is shown in the equations. However, I wrote that I got 3. Please disregard that. The work is correct, since it has 5 in the equations. The sentence I wrote says that I got 3, and it means 5. Sorry about that. Besides that, the rest is ok. :D

Answer 9

ok thx :D