Chapter 1.9, Problem 8P

Tell whether the given equation has the ordered pair as a solution.

$y=x-\frac{2}{5};\left(-2,-2\frac{2}{5}\right)$

To determine

To verify: if the ordered pair $\left(-2,-2\frac{2}{5}\right)$ is the solution of the equation $y=x-\frac{2}{5}$ .

Answer to Problem 8P

Yes

Explanation of Solution

Calculation:

Substitute $x=-2$ and $y=-2\frac{2}{5}=-\frac{12}{5}$ in the equation $y=x-\frac{2}{5}$ ,

  $\begin{array}{c}y=x-\frac{2}{5}\\ -\frac{12}{5}=-2-\frac{2}{5}\\ -\frac{12}{5}=\frac{-10-2}{5}\\ -\frac{12}{5}=-\frac{12}{5}\end{array}$

This statement is true.

So, it can be said that the ordered pair $\left(-2,-2\frac{2}{5}\right)$ is the solution of the equation $y=x-\frac{2}{5}$ .