Math Problem Statement

solev What is the solution of the system?

What is the solution of the system?

Solution

The graph shows two lines representing a system of linear equations. The solution to this system of equations is the point where the two lines intersect, as this point satisfies both equations.

From the graph:

  • The blue line intersects the red line at the point (2,2)(2, 2).

Thus, the solution to the system is (2,2)(2, 2).

Do you want any further details or have any questions?

Here are some related questions you can consider:

  1. What are the equations of these lines?
  2. How can you find the slope of each line?
  3. What is the significance of the intersection point in systems of equations?
  4. Can a system of equations have more than one solution? When?
  5. How would you solve this system algebraically without using a graph?

Tip: For systems of equations, always check if the lines are parallel, as parallel lines do not intersect and have no solution.

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Math Problem Analysis

Mathematical Concepts

Linear Equations
Graphing
Systems of Equations

Formulas

Slope-intercept form y = mx + b

Theorems

Intersection of two lines in a system of equations represents the solution

Suitable Grade Level

Grades 8-10