Chapter 1.9, Problem 5P

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

$y=x+1;(1,0)$

To determine

To find: Whether the ordered pair $\left(1,0\right)$ is the solution of the equation $y=x+1$ .

Answer to Problem 5P

The ordered pair $\left(1,0\right)$ is not the solution of the equation $y=x+1$ .

Explanation of Solution

Given:

The equation is $y=x+1$ .

Calculation:

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

  $\begin{array}{c}y=x+1\\ 0=1+1\\ 0\ne 2\end{array}$

The above equation is a false equation.

Thus, the ordered pair $\left(1,0\right)$ is not the solution of the equation $y=x+1$ .