Chapter 9, Problem 29CR

To determine

To solve the system of equation by graphing.

Answer to Problem 29CR

The solution of the system of equations is $\left(-2,-2\right)$ .

Explanation of Solution

Given information:

The equations are:

  $\begin{array}{l}\text{y}=\text{x}\\ \text{y}=\frac{1}{2}\text{x}-1\end{array}$

Calculation :

The graph of the equations are:

The graph is intersecting at $\left(-2,-2\right)$ .

Check by substituting the values of $\text{x and y}$ by $-2$ :

  $\begin{array}{l}\text{y}=\text{x}\\ \left(-2\right)=\left(-2\right)\\ \\ \text{y}=\frac{1}{2}\text{x}-1\\ \left(-2\right)=\frac{1}{2}\left(-2\right)-1\\ -2=-1-1\\ -2=-2\end{array}$

Hence, the solution of the system of equations is $\left(-2,-2\right)$ .