Question

Solve the equation in 2 different ways: 6p=0.6(5p+15)

Answer 1

Method 1: First expanding then canceling.

We expand the expression on the left side of the equation and get

`6p=0.6*5p+0.6*15`

`6p=3p+9`.

Now we subtract
`3p` from both sides and get:

`3p=9`

`\boxed{p=3}`

Method 2: First dividing then canceling.

We divide the equation by 0.6 and get:

`(6p)/(0.6) =(0.6(5p+15))/(0.6)`,

`10p=5p+15`,

now we subtract
`5p` from both sides and get

`5p=15`

`\boxed{p=3}`