Question

Find the values of x and y to make the following numbers equal

Answer 1

$-\frac{2}{x},\frac{y}{5},-0.2$

If all numbers has to be equal, that means:

$\begin{gathered} \frac{-2}{x}=-0.2 \\ \frac{y}{5}=-0.2 \end{gathered}$

Let's solve the value of x and y that makes the equation above equal. Let's start with x.

$\begin{gathered} \frac{-2}{x}=-0.2 \\ \text{Cross multiply.} \\ -2=-0.2x \\ \text{Divide -0.2 on both sides.} \\ \frac{-2}{-0.2}=\frac{-0.2x}{-0.2} \\ 10=x \end{gathered}$

The value of x is 10.

Let's solve for y.

$\begin{gathered} \frac{y}{5}=-0.2 \\ \text{Cross multiply.} \\ y=-1 \end{gathered}$

The value of y is -1.