Question

What is the solution to the linear equation?

+ p = + p

p = 1
p = 2
p = 8
p = 10

Answer 1

p=1

Explanation:

We are given that an equation

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

We have to find the solution of given linear equation .

Subtraction property of equality

`p-(3)/(5)p+(2)/(5)=\frac{4}[5}`

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

Combine like terms

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

`(2)/(5)p=(4)/(5)-(2)/(5)`

Subtraction property of equality

`(2)/(5)p=(2)/(5)`

When a fraction term in multiply goes form one side to other side then the term will be reciprocal.

`p=(2)/(5)* (5)/(2)`

`p=1`

Hence, p=1

Answer 2

`p=1`

To better understand the problem see the attached figure

we have

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

Multiply by
`5` both sides

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

`2+5p=4+3p`

Group terms that contain the same variable p and move the constant to the other side of the equation

`5p-3p=4-2`

`2p=2`

`p=1`