Linear Equations In Two Variables

Linear Equations In Two Variables

1. RULES

   • a1, b1, c1, a2, b2, c2 must be real numbers
   • a1, b1, c1, a2, b2, c2 simultaneuosly can't be zero

2. SOLUTIONS

   • GRAPHICALLY
     • Infinite Soutions
       • Coinciding Lines
     • No Solutions
       • Parallel Lines
     • Unique Solution
       • Intersecting Lines
   • ALGEBRAICALLY
     • Cross-Multiplication
     • Substitution
     • Elimination

3. GENERAL FORM

   • a2x+b2y+c=0
   • a1x+b2y+c=0

4. EQUATION FORM

   • y-axis : x = 0
   • x-axis : y = 0
   • Line parallel to y-axis : x = constant
   • Line parallel to x-axis : y = constant