Question

How do I solve this? My algebra 2 teacher gave me the problem x+7/3 - 4x+1/9 and also gave us the answer, which is -x+20/9. I have missed a lot of school recently and I am totally lost. HELP!

Answer 1

You need to combine like terms.
Like terms are terms that have the same variable part.
x and -4x are like terms and can be combined together.
7/3 and 1/9 are like terms and can be combined together.

Answer 2

OK

Answer 3

BUT that gives me 4x^2+8/11. Am I doing something wrong or is that just a step?

Answer 4

x + 7/3 - 4x + 1/9 =
= x - 4x + 7/3 + 1/9
First combine x with -4x.
Then combine 7/3 with 1/9.

Answer 5

x+7/3-4x+1/9=0 *9
9x+21-36x+1=0
-27x=-22
x=22/27

Answer 6

When you add or subtract terms with x, the power of x does not change.
For example:
2x + 5x - 9x = 7x - 9x = -2x

Answer 7

@Genc
How did you make of a smple collecting like terms problem into an equation?

Answer 8

But I am not solving for x, I have to arrive at the answer that was provided.

Answer 9

that was @Genc

Answer 10

x + 7/3 - 4x + 1/9 =
= x - 4x + 7/3 + 1/9
Do you see what I did above? I placed the terms with x near each other, and I did the same for the terms wiith no x.
Now combine together x and -4x
Then combine together 7/3 and 1/9

Answer 11

ooooooooo

Answer 12

I'm still not where I need to be.

Answer 13

I'm really sorry this must be frustrating.

Answer 14

@ConfusedSophia ,, do you have to find the X? in your problem ?

Answer 15

no

Answer 16

x + 7/3 - 4x + 1/9 =
= x - 4x + 7/3 + 1/9
Now combinbe x and -4x to get -3x
Then combine 7/3 and 1/9. You need a common denominator of 9.
7/3 + 1/9 = 21/9 + 1/9 = 22/9
So x - 4x + 7/3 + 1/9 = -3x + 22/9
Your answer above is incorrect.

Answer 17

hmmm ok. are you sure?

Answer 18

Can I ask you about to help me with an inequality problem too, @mathstudent55 ?

Answer 19

or @Genc too

Answer 20

x+7/3 - 4x+1/9 =
-3x+(7/3+1/9)=
-3x+(22/9)= ........so if we divide with /3 we have =
-x+22/27 ...this can be the correkt answer

Answer 21

hmmm ok

Answer 22

@mathstudent55 ...yeah it .does not matter anything..the result will be the same

Answer 23

What? -3x + 22/9 is the same as -x + 22/9?

Answer 24

@mathstudent55 -3x+22/9 is the same with -x+22/27

Answer 25

If you really think it is, why don't you replace x with the same number in both and see if they are equal. How about try x = 0.

Answer 26

(1/3)(-3x + 22/9) = -x + 22/27
-x + 22/27 is one third of -3x + 22/9.
They are not equal.