Question 175230: Please solve x + 1 = 2/3x algrbracially. Please, step by step, I need to see how the answer is -3. Cannot figure this out. Found 3 solutions by EMStelley, monika_p, solver91311:Answer by EMStelley(208) (Show Source):
You can put this solution on YOUR website! The difficulty in the question is that there is a variable in the denominator of the right hand side of the equation. Also note that something must be incorrect in your question as x = -3 is not a valid solution (can be seen by simple substitution). The first step is to multiply both sides of the equation by 3x so that there are no more "fractions" in the question. This yields:
3(x^2) + 3x = 2
So, converting to standard form of a quadratic, we obtain
3(x^2) + 3x - 2 = 0
Now you can use whichever method you like, such as the quadratic formula to get
x = (-3 + sqrt(33))/6
and
x = (-3 - sqrt(33))/6
You can put this solution on YOUR website! To solve this equation group all x on one side and rest on the other side of = sign. Remember that whatever you do to left side of the equation the same you have to do to the right, and opposit.
x+1=2/3x subtract 2/3x from both sides so you will not have any x on the right side
x-2/3x-1=2/3x-2/3x
x-2/3x-1=0 add 1 to both sides to remove number from rigt side (we want only x there)
x-2/3x-1+1=-1
x-2/3x=-1
3/3x-2/3x=-1
1/3x=-1 /3 multiply by 3 to get just x on the left side
x=-3
You can put this solution on YOUR website! Note to the student: Use parentheses to make it clear what you mean. One of the tutors who solved this interpreted your equation to read and the other interpreted it as . You can see that these two equations are not the same thing at all if you look at the results. Given that you had an independent source of the solution set being , then the first interpretation was probably correct, however if you want us to help you properly, in the future you need to be crystal clear about what you want.
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