Chapter 9.7, Problem 2GP

To determine

To solve : the given system of equations.

Answer to Problem 2GP

The solution of the given system of equations is $\text{(5},-3)$ .

Explanation of Solution

Given information :

The given system of equations:

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

Calculation :

As per problem,

Consider the system of equations:

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

Since $x=5$ , replace $x$ with $5$ in the first equation.

  $\begin{array}{l}y=2-x\text{ [Write the first equation]}\\ y=2-5\text{ [Replace }x\text{ with 5]}\\ y=-3\text{ [Solve for }y\text{]}\end{array}$

The solution of this system of equations is $\text{(5},-3)$ .