Question

What is the solution to the linear equation? 2/5 + p = 4/5 + 3/5p ​

Answer 1

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• $\sf{\dfrac{2}{5}+p=\dfrac{4}{5}+\dfrac{3p}{5} }$ 

• $\sf{ \dfrac{2}{5}+p=\dfrac{4+3p}{5} }$ 

• $\sf{5(\dfrac{2}{5}+p)=4+3p }$ 

• $\sf{ 2+5p=4+3p }$ 

• $\sf{5p-3p=4-2 }$ 

• $\sf{ 2p=2 }$ 

• $\sf{p=\dfrac{2}{2} }$ 

• $\bold{p=1 }$ 

Answer 2

Answer:

p=1

Step-by-step explanation:

2/5 + p = 4/5 + 3/5p

Multiply each side by 5 to clear the fractions

5(2/5 + p) = 5(4/5 + 3/5p)

2 +5p = 4 + 3p

Subtract 3p from each side

2+5p-3p = 4+3p-3p

2+2p = 4

Subtract 2 from each side

2+2p -2 = 4-2

2p =2

Divide by 2

2p/2 = 2/2

p=1