Question

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

Answer 1

`\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}`

• 
  `\sf{(2)/(5)+p=(4)/(5)+(3p)/(5)   }`

• 
  `\sf{ (2)/(5)+p=(4+3p)/(5)   }`

• 
  `\sf{5((2)/(5)+p)=4+3p }`

• 
  `\sf{ 2+5p=4+3p  }`

• 
  `\sf{5p-3p=4-2   }`

• 
  `\sf{ 2p=2  }`

• 
  `\sf{p=(2)/(2)   }`

• 
  `\bold{p=1   }`

Answer 2

p=1

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