Math Problem Statement

Identify the solution of the system of two linear equations graphed below.

Solution

The graph shows two lines, one red and one blue, and we are asked to find the solution of the system of linear equations represented by these lines. The solution corresponds to the point where the two lines intersect.

By looking at the graph, the red and blue lines intersect at the point (2,1)(-2, 1).

Thus, the solution to the system of equations is the ordered pair:

(2,1)(-2, 1)

Would you like more details on how to solve systems of equations or graph interpretation?

Here are 5 related questions you might consider:

  1. How do you determine if two lines on a graph have a solution?
  2. What does it mean if two lines are parallel in a system of equations?
  3. How can you algebraically solve a system of linear equations using substitution?
  4. What is the difference between consistent and inconsistent systems of equations?
  5. How can you graph linear equations given their slope and y-intercept?

Tip: When solving a system of equations, always double-check that the intersection point satisfies both equations.

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Equations
Graphing Systems of Equations

Formulas

None explicitly used, graphical solution method

Theorems

Intersection point of two lines represents the solution to the system of linear equations

Suitable Grade Level

Grades 8-10