Chapter 11: Q. 193 (page 1147)

In the following exercises, solve the system of equations by using graphing.
$\{\begin{cases} y = x - 1 \\ y = x^{2} + 1 \end{cases}$

Short Answer

Expert verified

The system of equations has no solution.

Step by step solution

Step 1. Given information

The given system of equations is

$\{\begin{cases} y = x - 1 \\ y = x^{2} + 1 \end{cases}$ .

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.

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In the following exercises, solve the system of equations by using graphing.
$\{\begin{cases} y = x - 1 \\ y = x^{2} + 1 \end{cases}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph the Equations

Step 3. Determine the point of intersection

One App. One Place for Learning.

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In the following exercises, solve the system of equations by using graphing.y=x-1y=x2+1

Short Answer

Step by step solution

Step 1. Given information

Step 2. Graph the Equations

Step 3. Determine the point of intersection

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Theoretical and Mathematical Physics

Logic and Functions

Applied Mathematics

Probability and Statistics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

In the following exercises, solve the system of equations by using graphing.
$\{\begin{cases} y = x - 1 \\ y = x^{2} + 1 \end{cases}$