Chapter 9.7, Problem 9IP

To determine

To solve : the given system of equations.

Answer to Problem 9IP

The solution of the given system of equations is $\text{(}-2,6)$ .

Explanation of Solution

Given information :

The given system of equations:

  $\begin{array}{l}y=16+5x\\ x=-2\end{array}$

Calculation :

As per problem,

Consider the system of equations:

  $\begin{array}{l}y=16+5x\\ x=-2\end{array}$

Since $x=-2$ , replace $x$ with $-2$ in the first equation.

  $\begin{array}{l}y=16+5x\text{ [Write the first equation]}\\ y=16+5(-2)\text{ [Replace }x\text{ with }-\text{2]}\\ y=6\text{ [Solve for }y\text{]}\end{array}$

The solution of this system of equations is $\text{(}-2,6)$ .