SOLUTION: Solve the linear equation, give its solution set, and state whether the equation is conditional, identity, or inconsistent. 1/2(p+5)-4 = 1/3(2p-1)

Question 126659: Solve the linear equation, give its solution set, and state whether the equation is conditional, identity, or inconsistent.
1/2(p+5)-4 = 1/3(2p-1)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Multiply both sides by the LCM of 6. This will eliminate the fractions (note: if you need help with finding the LCM, check out this solver)

Distribute and multiply the LCM to each side

Distribute

Combine like terms on the left side

Add 9 to both sides

Subtract 4p from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by -1 to isolate p

Divide

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Answer:
So our answer is

Since we get only one answer, the equation is conditional. In other words, the equation is only true if .
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