Question

Eliminate the fractions before solving for x. Explain each of your steps. 1/3+1/9x + 4/18x = 5/9

Answer 1

x = 2/3

Explanation:

`(1)/(3) +(1)/(9)x +(4)/(18)x = (5)/(9)`

To solve this equation,

1. Change them to fractions with common denominators, so we know we can change them to 18, because they are all factors of 18.

2. Next, we multiply
`(1)/(3) *(6)/(6) = (6)/(18)` ,
`(1)/(9)x` ×
`(2)/(2)`
`= (2)/(18)x`, and on the other side we also convert it to an equivalent fraction with denominator 18,
`(5)/(9) * (2)/(2) = (10)/(18)`

3. So the equation now is:
`(6)/(18) + (2)/(18)x + (4)/(18)x = (10)/(18)`

4. Now we add the like terms,
`(6)/(18) + (6)/(18)x = (10)/(18)`

5. Now you can put 6/18 to the other side to get:
`(6)/(18)x = (10)/(18) - (6)/(18)`

6.
`(6)/(18)x = (4)/(18)`, we can ignore 18 now because they are common denominators

7.
`6x = 4`, So x = 4/6 which when we simplify is 2/3

8. So the answer is 2/3

Hope this helps!!

Answer 2

Answer:
`x=2/3`

Step-by-step explanation: First get all the fractions into their simplest form.

It should look like this.

`1/3+1/9x+2/9x=5/9`

Now we find the least common multiple of all the fractions which is 9 and so we multiply both sides of the equation by 9 to get rid of the fraction component.

`9(1/3+3/9x)=9(5/9)`

Distribute and simplify

`3+3x = 5`

subtract 3 from both sides to get x on one side and numeric quantity on the other.

`3x = 2`

Divide both sides by 3

`x = 2/3`