Question

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

Answer 1

2/5 + p = 4/5 + 3/5 pSimplifyp + 2/5 = 3/5 p + 4/5Subtract 3/5p from both sidesp + 2/5 -3/5p = 3/5p + 4/5 -3/5 p2/5 p + 2/5 =4/5Subtract 2/5 from both sides2/5 p +2/5 -2/5 = 4/5 -2/52/5 p = 2/5Divide both sides by 2/52/5 p / 2/5 = 2/5 /2/5p = 1

Answer 2

p=1

Explanation:

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

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

p or p/1 are same

LCD is 5, multiply 5 with each term. the equation becomes

`(2)/(5) \cdot 5+p \cdot 5= (4)/(5) \cdot 5 +(3)/(5)p \cdot 5`

`2+5p = 4 +3p`

Subtract 3p from both sides

`2+2p = 4`

Subtract 2 on both sides

`2p= 2`

Divide by 2 on both sides

p= 1

So the value of p =1 for the given equation