Math Problem Statement

Find the solution to the system of equations graphed here.

Solution

From the image, the solution to the system of equations corresponds to the point where the two lines intersect on the graph.

Observing the Graph:

  1. The two lines intersect at the point (3,1)(3, -1).
  2. This is evident from the grid where the blue and pink lines cross.

Correct Answer:

The solution to the system is: E. (3, -1)

Would you like an explanation of how to find this algebraically or a more detailed breakdown of interpreting such graphs?

Here are some related questions to deepen your understanding:

  1. How do you solve a system of linear equations algebraically?
  2. What does it mean if two lines do not intersect on a graph?
  3. How do you verify the solution to a system of equations by substitution?
  4. Can you have more than one solution to a system of two linear equations?
  5. What is the significance of slope in determining the point of intersection?

Tip: When finding the intersection of two lines graphically, always check for precision by aligning with the gridlines!

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Math Problem Analysis

Mathematical Concepts

Systems of Linear Equations
Graphical Solutions

Formulas

Slope-intercept form y = mx + b

Theorems

Intersection point of two lines represents the solution

Suitable Grade Level

Grades 8-10