Question

How do you solve and check your solutions to `-0.12=y/-0.5`?

Answer 1

See a solution process below:

Explanation:

Multiply each side of the equation by `color(red)(-0.5)` to solve for `y` while keeping the equation balanced:

`color(red)(-0.5) xx -0.12 = color(red)(-0.5) xx y/-0.5`

`0.06 = cancel(color(red)(-0.5)) xx y/color(red)(cancel(color(black)(-0.5)))`

`0.06 = y`

`y = 0.06`

To check the solution we need to substitute `0.06` for `y` back in the original equation and calculate the left side of the equation. If the left and right side of the equation are then equal, the solution is validated:

`-0.12 = y/-0.5` becomes:

`-0.12 = 0.06/-0.5`

`-0.12 = -0.12`