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

Oct 5, 2017

See a solution process below:

#### Explanation:

Multiply each side of the equation by $\textcolor{red}{- 0.5}$ to solve for $y$ while keeping the equation balanced:

$\textcolor{red}{- 0.5} \times - 0.12 = \textcolor{red}{- 0.5} \times \frac{y}{-} 0.5$

$0.06 = \cancel{\textcolor{red}{- 0.5}} \times \frac{y}{\textcolor{red}{\cancel{\textcolor{b l a c k}{- 0.5}}}}$

$0.06 = y$

$y = 0.06$

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:

$- 0.12 = \frac{y}{-} 0.5$ becomes:

$- 0.12 = \frac{0.06}{-} 0.5$

$- 0.12 = - 0.12$