Chapter 8.2, Problem 1MRE

To determine

To find: Whether the given ordered pair is the solution of the given equation.

Answer to Problem 1MRE

The ordered pair $\left(5,-5\right)$ is the solution of the given equation and $\left(2,-1\right)$ is not the solution of the given equation.

Explanation of Solution

Given information:

The given equation is,

  $2x+y=5$

The given ordered pairs are $\left(5,-5\right),\left(2,-1\right)$ .

The validation of the solution of the given equation for $\left(5,-5\right)$ is,

  $\begin{array}{l}2x+y=5\\ 2\left(5\right)+\left(-5\right)=5\\ 10-5=5\\ 5=5\end{array}$

The validation of the solution of the given equation for $\left(2,-1\right)$ is,

  $\begin{array}{l}2x+y=5\\ 2\left(2\right)+\left(-1\right)=5\\ 4-1=5\\ 3\ne 5\end{array}$

Therefore, $\left(5,-5\right)$ is the solution of the given equation and $\left(2,-1\right)$ is not the solution of the given equation.