Chapter 1.9, Problem 6P

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

$y=-x;(-7,7)$

To determine

To find: Whether the ordered pair $\left(-7,7\right)$ is the solution of the equation $y=-x$ .

Answer to Problem 6P

The ordered pair $\left(-7,7\right)$ is the solution of the equation $y=-x$ .

Explanation of Solution

Given:

The equation is $y=-x$ .

Calculation:

Substitute $x=1$ and $y=0$ in the equation $y=-x$ as follows:

  $\begin{array}{c}y=-x\\ 7=-\left(-7\right)\\ 7=7\end{array}$

The above equation is a true equation.

Thus, the ordered pair $\left(-7,7\right)$ is the solution of the equation $y=-x$ .