Math Problem Statement
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How many solutions are there in the system of equations?
Solution
The image shows a graph with two lines, one blue and one red, crossing each other at a point. When two lines intersect at exactly one point, the system of equations represented by those lines has one solution.
Therefore, the correct answer to the question "How many solutions are there in the system of equations?" is One Solution.
Would you like more details or have any further questions?
Here are 5 related questions you might find useful:
- What does it mean for a system of equations to have infinitely many solutions?
- How can we algebraically determine the number of solutions for a system of linear equations?
- Can a system of linear equations have exactly two solutions?
- What are the characteristics of a system with no solution?
- How can graphing help to visually identify the number of solutions in a system of equations?
Tip: If two lines in a system are parallel, the system has no solution because the lines never intersect.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graphing Systems of Equations
Intersection of Lines
Formulas
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Theorems
System of Linear Equations Theorem
Suitable Grade Level
Grades 7-10