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9 votes
9 votes
Hi I need help fast I don’t know if the answer that I picked is right or wrong

Hi I need help fast I don’t know if the answer that I picked is right or wrong-example-1
User Soloice
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2.6k points

1 Answer

5 votes
5 votes

We have the following equation


2x-5=(1)/(3)x

These are some possible steps to solve it:

#1. Substract 2x from both sides


2x-5-2x=(1)/(3)x-2x

#2. Simplify


\begin{gathered} -5=((1)/(3)-2)x \\ -5=((1)/(3)-(6)/(3))x \\ -5=-(5)/(3)x \end{gathered}

#3. multiply both sides by 3


3\mleft(-(5)/(3)x\mright)=3\mleft(-5\mright)

#4. Simplify


-5x=-15

#5. Divide both sides by -5


(-5x)/(-5)=(-15)/(-5)

#6. Simplify


x=3

So, we can see from the set of steps above, that the 4th option is the correct one!

User Bbu
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