Question

Show all work to solve

Answer 1

Use complete sentences to explain how to solve this equation

Answer 2

Well, one major thing I would do is make sure we get rid of those fractions. To do this, I want to multiply everything by what is in the bottom of each fraction. So I have an x, 9, and a 3. I will first multiply everything by x And you'll see what happens:
\[(x)\frac{ 2 }{ x }+(x)\frac{ 1 }{ 9 }=x \frac{ 1 }{ 3 } \]
\[2+\frac{ x }{ 9 }=\frac{ x }{ 3 }\]Now Ive gotten rid of one fraction to make it a little more simplified. Do you understand what I did @Littlemsadventuretime ?

Answer 3

Yes I do! I appreciate your help lots! Thanks you so much:)

Answer 4

Yeah, absolutely :3 Now the next thing I will do is multiply everything by the 9 in the bottom. This will get rid of all of the fractions now actually.

\[(9)(2) + (9)\frac{ x }{ 9 }= (9)\frac{ x }{ 3 } \]
\[18 + x= 3x\]Now we got something that is easy to work with. You think youd be able to find x from there?

Answer 5

I dont know? you show me how? Luckly this is just a practice test.

Answer 6

Well, we would combine like terms. We have 2 x's, but we need only one x. Now if we have multiple terms that contain the same variable with the same exponent we can combine them like regular addition and subtraction. For example:
\[2x - 3x = -1x\]
\[9xy + 2xy = 11xy\]
\[3x ^{15}- x ^{15}= 2x ^{15}\]This is exactly what we'll do for this problem. Now what we need to do is move the x on the left over to the right. We do this by doing opposite operations. For example, these would be opposites

addition ----- subtraction
multiplication ---- division

So when we have something positive, we subtract. When we have something negative, we add. When we have multiplication we divide and when we have division we multiply.

So the x remaining on the left is a positive x. This means I want to subtract x. Now what I do to one side of an equation I must do to the other or else I change the whole problem. So this is what I'll be doing:

\[18 + x -x = 3x - x\]I've subtracted x from both side. This gives us:
\[18 = 2x\]Now we finally want x byitself. What we have here is 2 times x. Because this is multiplication we need to do the opposite, division. So we divide everything we have by 2. This gives us:
\[\frac{ 18 }{ 2 }= \frac{ 2x }{ 2 }\]
\[9 = x\]

Make sense? :P

Answer 7

Hopefully that works for ya, I gtg. Good luck ^_^

Answer 8

THANK YOU SO MUCH!!!!!!