Question

What is the solution to the linear equation?

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


p = 1

p = 2

p = 8

p = 10

Answer 1

the undeniable answer is p=1

Answer 2

`\large\boxed{p=1}`

Explanation:

`(2)/(5)+p=(4)/(5)+(3)/(5)p\qquad\text{multiply both sides by 5}\\\\5\!\!\!\!\diagup^1\cdot(2)/(5\!\!\!\!\diagup_1)+5p=5\!\!\!\!\diagup^1\cdot(4)/(5\!\!\!\!\diagup_1)+5\!\!\!\!\diagup^1\cdot(3)/(5\!\!\!\!\diagup_1)p\\\\2+5p=4+3p\qquad\text{subtract 2 from both sides}\\\\5p=2+3p\qquad\text{subtract 3p from both sides}\\\\2p=2\qquad\text{divide both sides by 2}\\\\p=1`