Question

How do you solve and check your solution given `2/3p=-22`?

Answer 1

See the entire solution and verification process below:

Explanation:

First, multiply each side of the equation by `color(red)(3)/color(blue)(2)` to solve for `p` while keeping the equation balanced:

`color(red)(3)/color(blue)(2) xx 2/3p = color(red)(3)/color(blue)(2) xx -22`

`cancel(color(red)(3))/cancel(color(blue)(2)) xx color(blue)(cancel(color(black)(2)))/color(red)(cancel(color(black)(3)))p = -66/color(blue)(2)`

`p = -33`

To verify the solution, substitute `color(red)(-33)` for `color(red)(p)` in the original equation and calculate the left side of the equation to ensure it equals `-22`:

`2/3color(red)(p) = -22` becomes:

`2/3 xx color(red)(-33) = -22`

`-66/3 = -22`

`-22 = -22`

Because both sides of the equation calculate to `-22` the solution for `p` is verified to be `-33`.