Math Problem Statement

What is the solution to the system of equations graphed below?

Solution

To solve the problem, let's analyze the graph of the system of equations:

  1. The graph shows two lines intersecting on a coordinate plane.
  2. The point where the two lines intersect represents the solution to the system of equations since it satisfies both equations.

Looking at the graph, the lines intersect at the point (1,2)(-1, -2).

Correct Answer:

  • The solution is A. (-1, -2).

Would you like more details or have any questions?

Related Questions:

  1. How do you find the solution of a system of equations graphically?
  2. What are other methods to solve systems of equations besides graphing?
  3. How can you determine if a system of equations has no solution or infinitely many solutions?
  4. What does it mean if two lines on a graph are parallel?
  5. How can you confirm a solution by substituting it into the original equations?

Tip: When solving systems graphically, always check if the intersection point is clear and accurate to avoid errors!

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Math Problem Analysis

Mathematical Concepts

Algebra
Graphing
Systems of Linear Equations

Formulas

None, as this problem is solved graphically.

Theorems

Intersection of lines theorem: The solution to a system of linear equations is the point where the lines intersect.

Suitable Grade Level

Grades 7-9