Math Problem Statement
Solution
The question asks for the solution to the system of equations and , based on the graph. The solution is the point where the two lines intersect.
From the graph, the two lines intersect at the point . Therefore, the solution to the system of equations is:
Answer: A. (-1, -1)
Would you like a detailed explanation of how this is solved algebraically or any further clarification?
Here are 5 related questions for further exploration:
- How do you solve a system of equations algebraically using substitution?
- How do you determine the slope and y-intercept from an equation in slope-intercept form?
- What does it mean when two lines do not intersect on a graph?
- How can you check if a point is a solution to a system of equations?
- How do parallel and perpendicular lines behave in a system of equations?
Tip: Always double-check the intersection point by substituting its coordinates into both equations!
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Math Problem Analysis
Mathematical Concepts
Algebra
Graphing Systems of Equations
Slope-Intercept Form
Formulas
Slope-intercept form: y = mx + b
Theorems
Intersection of two lines on a graph represents the solution to the system
Suitable Grade Level
Grades 8-10
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