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:
- The graph shows two lines intersecting on a coordinate plane.
- 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 .
Correct Answer:
- The solution is A. (-1, -2).
Would you like more details or have any questions?
Related Questions:
- How do you find the solution of a system of equations graphically?
- What are other methods to solve systems of equations besides graphing?
- How can you determine if a system of equations has no solution or infinitely many solutions?
- What does it mean if two lines on a graph are parallel?
- 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