Pair of Linear Equations in two variables

Pair of Linear Equations in two variables

1. Equations for

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

2. General Form

   • a1x+b1y+c1=0 and a2x+b2y+c2=0
   • Rules
     • a1, a2, b1, b2, c1, c2-Real numbers
     • a1, b1 and a2, b2 cannot be Zero simultaneously

3. Solutions

   • Algebraically
   • GraphicallyAlgebraic
   • GraphicallyAlgebraic
     • By Substitution
     • By Elimination
     • By Cross-Multiplication

4. Graphical Representation

   • Unique Solution
     • Intersecting Lines
   • Infinitely Many Solutions
     • Coincident Lines
   • No Solution
     • Parallel Lines