CLASS10 · Mathematics · Linear Equations — Consistency

Exercise and reference answers

Items

1. Item

   Lines intersect at exactly one point

   Answer

   left

2. Item

   Parallel lines

   Answer

   right

3. Item

   a₁/a₂ ≠ b₁/b₂

   Answer

   left

4. Item

   a₁/a₂ = b₁/b₂ ≠ c₁/c₂

   Answer

   right

5. Item

   Unique x, y satisfy both equations

   Answer

   left

6. Item

   Graphs never meet

   Answer

   right

Categories

Left

Consistent (one solution)

Right

Inconsistent (no solution)

Instructions

Classify each scenario: consistent or inconsistent system?