Question

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

$\left\{\begin{array}{l}y=x-1\\ y=x^2+1\end{array}\right.$

Short answer

The system of equations has no solution.

Step-by-step solution

Step 1. Given information

The given system of equations is

$\left\{\begin{array}{l}y=x-1\\ y=x^2+1\end{array}\right.$.

Step 2. Graph the Equations

• Plot the graphs of the given equations 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.