Question

In the following exercises, solve the system of equations by using graphing.

$\begin{array}{rcl}& & \left\{\begin{array}{c}x-y=-2\\ x=y^2\end{array}\right.\\ & & \end{array}$

Short answer

There is no solution to this system of equations.

Step-by-step solution

Step 1. Given Information

The given system of equations is$\begin{array}{rcl}& & \left\{\begin{array}{c}x-y=-2\\ x=y^2\end{array}\right.\\ & & \end{array}$

Step 2. Graph the Function

• Plot the graph of $\begin{array}{rcl}x-y& =& -2\mathrm{and}x=y^2\end{array}$on the same graph.

• The blue line represents the first equation and the red line represents the second equation of the system.

Step 3. Determine the point of intersection 

• From the graph, it is observed that the functions do not intersect.
• So, there is no solution to this system of equations.