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Grade 8 Math Lab: Functions & Proofs FREE
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Systems of Equations
Learning Objectives
- Solve by graphing
- Solve by substitution
- Interpret solutions
Key Concepts
System
Two or more equations with shared variables
Solution
Point(s) where graphs intersect
Theory
**Methods:**
1. Graphing: Find intersection point
2. Substitution: Solve one equation for a variable, substitute into other
3. Elimination: Add/subtract equations to eliminate a variable
Examples
y = 2x + 1 and y = -x + 7
Solution: 2x + 1 = -x + 7 → 3x = 6 → x = 2, y = 5
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Knowledge Check
Test your understanding of Systems Collision!