Question

Question #a208a

Answer 1

`p=9/7 ~~ 1.28571428571`

Explanation:

Just balance your equation! It helps me, personally, if we replace all the variables (since we just have one) with `x`. If this helps you, do that as you follow along. Just make sure you have your final answer say `p=` rather than `x=`!

`p-1=5p+3p-8` Combine like terms. `darr`
`p-1=8p-8` Subtract `8p` from both sides. `darr`
`-7p-1=-8` Add 1 to both sides. `darr`
`-7p=-9` Divide both sides by `(-7)`
`p=9/7 ~~ 1.28571428571`

Answer 2

See a solution process below:

Explanation:

First, combine the common terms on the left side of the equation:

`p - 1 = (5 + 3)p - 8`

`p - 1 = 8p - 8`

Next, subtract `color(red)(p)` and add `color(blue)(8)` from each side of the equation to isolate the `p` term while keeping the equation balanced:

`-color(red)(p) + p - 1 + color(blue)(8) = -color(red)(p) + 8p - 8 + color(blue)(8)`

`-color(red)(p) + p - 1 + color(blue)(8) = -color(red)(1p) + 8p - 8 + color(blue)(8)`

`0 + 7 = (-color(red)(1) + 8)p - 0`

`7 = 7p`

Now, divide each side of the equation by `color(red)(7)` to solve for `p` while keeping the equation balanced:

`7/color(red)(7) = (7p)/color(red)(7)`

`1 = (color(red)(cancel(color(black)(7)))p)/cancel(color(red)(7))`

`1 = p`

`p = 1`