Chapter 8.3, Problem 23PPS

To determine

To calculate: To find four solutions for the equation and write the solutions as ordered pairs

Answer to Problem 23PPS

Four solutions for the equation is $\left(0,9\right),\left(1,7\right),\left(2,5\right),\left(3,3\right)$

Explanation of Solution

Given information: Equation is $2x+y=9$

Calculation:

Equation is given as

  $2x+y=9$

Above equation can be rewritten as follows:

  $y=9-2x$

When $x=0$

  $\begin{array}{l}y=9-2\left(0\right)\\ y=9-0\\ y=9\end{array}$

When $x=1$

  $\begin{array}{l}y=9-2\left(1\right)\\ y=9-2\\ y=7\end{array}$

When $x=2$

  $\begin{array}{l}y=9-2\left(2\right)\\ y=9-4\\ y=5\end{array}$

When $x=3$

  $\begin{array}{l}y=9-2\left(3\right)\\ y=9-6\\ y=3\end{array}$

Thus, four solutions are $\left(0,9\right),\left(1,7\right),\left(2,5\right),\left(3,3\right)$