x/9 +3 = 8 - x/3
Solve??????
First, get rid of the fractions to make the equation easier to solve for x.
Let's multiply every term by 9:
9 [x/9 + 3 = 8 - x/3]
x + 27 = 72 - 3x
4x = 45
x = 45/4
Substitute 45/4 for x in the original equation to check. It always helps to check your work!
I hope this will help.
To solve the equation x/9 + 3 = 8 - x/3, we can start by getting rid of the fractions by finding a common denominator. In this case, the common denominator is 9 * 3 = 27.
Multiply every term in the equation by 27:
27 * (x/9) + 27 * 3 = 27 * 8 - 27 * (x/3)
This simplifies to:
3x + 81 = 216 - 9x
Next, combine like terms by adding 9x to both sides of the equation:
3x + 9x + 81 = 216 - 9x + 9x
This gives:
12x + 81 = 216
Now, subtract 81 from both sides:
12x + 81 - 81 = 216 - 81
Simplifying further:
12x = 135
Finally, divide both sides by 12 to solve for x:
(12x)/12 = 135/12
This gives us:
x = 11.25
Therefore, the solution to the equation x/9 + 3 = 8 - x/3 is x = 11.25.