Chapter 1.9, Problem 19P

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

$y=-4x-3;(1,1)$

To determine

To find: Whether the ordered pair $\left(1,1\right)$ is the solution of the equation $y=-4x-3$ .

Answer to Problem 19P

The ordered pair $\left(1,1\right)$ is not the solution of the equation $y=-4x-3$ .

Explanation of Solution

Given:

The equation is $y=-4x-3$ .

Calculation:

Substitute $x=1$ and $y=1$ in the equation $y=-4x-3$ as follows:

  $\begin{array}{c}y=-4x-3\\ 1=-4\left(1\right)-3\\ 1=-4-3\\ 1\ne -7\end{array}$

The above equation is a false equation.

Thus, the ordered pair $\left(1,1\right)$ is not the solution of the equation $y=-4x-3$ .