Solve the equation. 5/3p+2/3=5+p/2p a. p=12 b. p= 5 c. p= 9 d. p=6

2 answers:

6 0

The answer is B) p=5

Steps :
1) Simplify : 5 + p / 2p
2) simplify : 2/3
3) simplify : giving u 5/3p

If you need this problem worked out let me know

Oksi-84 [34.3K]4 years ago

6 0

Answer: The correct option is (b) p = 5.

Step-by-step explanation: We are given to solve the following equation :

$\dfrac{5}{3p}+\dfrac{2}{3}=\dfrac{5+p}{2p}.$

We will be solving the given equation for the value of the unknown variable p.

We have

$\dfrac{5}{3p}+\dfrac{2}{3}=\dfrac{5+p}{2p}\\\\\\\Rightarrow \dfrac{5+2p}{3p}=\dfrac{5+p}{2p}\\\\\\\Rightarrow \dfrac{5+2p}{3}=\dfrac{5+p}{2}\\\\\\\Rightarrow 2(5+2p)=3(5+p)\\\\\Rightarrow 10+4p=15+3p\\\\\Rightarrow 4p-3p=15-10\\\\\Rightarrow p=5.$

Thus, the required value of p is 5. And, so the solution of the given equation is p = 5.

Option (b) is CORRECT.

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