### Graphing Systems of Equations: Identifying Solutions#### Problem Statement**What ordered pairs are the solutions of the system of equations shown in the graph below?**#### Graph DescriptionThe graph provided shows the Cartesian coordinate plane with a system of two equations plotted on it. The graph is divided by a horizontal x-axis and a vertical y-axis, each labeled accordingly with values ranging from -10 to 10.1. **Line Graph**: The first equation is represented by a straight line that crosses the y-axis at y = 10 and intersects the x-axis at approximately x = -2. This line extends diagonally from the upper left to the lower right side of the graph. 2. **Parabola**: The second equation is represented by a parabola that opens downwards. The vertex (highest point) of the parabola appears to be located to the left of the y-axis, approximately at the point (-4, 2). The arms of the parabola curve downwards, crossing the x-axis at approximately x = -2 and x = -6, and pass through the y-axis between y = 0 and y = -10.#### IntersectionsThe solutions to the system of equations are the points where the two graphs intersect. According to the graph:- The first point of intersection appears to be around (-6, -8).- The second point of intersection appears to be around (-2, 4).#### Answer SubmissionBelow the graph, two boxes are provided to input the ordered pairs (x, y) that represent the solutions to the system of equations.```plaintext( [ ] , [ ] ) and ( [ ] , [ ] )Submit Answer [Button]```Verify the points by analyzing where the line intersects the parabola. This graph visually aids in understanding how different types of equations can intersect in the coordinate plane, providing a graphical solution to a system of equations.

What ordered pairs are the solution of the system of equations that shown in the…

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What ordered pairs are the solutions of the system of equations shown in the graph below? 10 8 -8 6 F4 6 8 -10 -2 4 10 -2 -4 -6 -8 -10 and (

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

### Graphing Systems of Equations: Identifying Solutions

#### Problem Statement
**What ordered pairs are the solutions of the system of equations shown in the graph below?**

#### Graph Description
The graph provided shows the Cartesian coordinate plane with a system of two equations plotted on it. The graph is divided by a horizontal x-axis and a vertical y-axis, each labeled accordingly with values ranging from -10 to 10.

1. **Line Graph**: The first equation is represented by a straight line that crosses the y-axis at y = 10 and intersects the x-axis at approximately x = -2. This line extends diagonally from the upper left to the lower right side of the graph.

2. **Parabola**: The second equation is represented by a parabola that opens downwards. The vertex (highest point) of the parabola appears to be located to the left of the y-axis, approximately at the point (-4, 2). The arms of the parabola curve downwards, crossing the x-axis at approximately x = -2 and x = -6, and pass through the y-axis between y = 0 and y = -10.

#### Intersections
The solutions to the system of equations are the points where the two graphs intersect. According to the graph:

- The first point of intersection appears to be around (-6, -8).
- The second point of intersection appears to be around (-2, 4).

#### Answer Submission
Below the graph, two boxes are provided to input the ordered pairs (x, y) that represent the solutions to the system of equations.

```plaintext
( [ ] , [ ] ) and ( [ ] , [ ] )

Submit Answer [Button]
```

Verify the points by analyzing where the line intersects the parabola. This graph visually aids in understanding how different types of equations can intersect in the coordinate plane, providing a graphical solution to a system of equations.

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