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Linear Equations

9 lessons · 18 questions · 2 PYQs

What the exams ask here

  • word problem -> 2 equations
  • k for infinitely many solutions
  • Celsius/Fahrenheit misuse
  • shopping problems
  • 2x + 3y = 7 and 2px + (p - q)y = 28 with infinitely many solutions -> (p, q) (JIPMAT 2023 Q3)
  • F = 1.8C + 32: x degrees F reported as x degrees C is 144% higher -> 122 (Indore 2026 SA, memory-based)
  • 23x + 47y = 140, 47x + 23y = 140 -> x + y
  • two equations in three unknowns -> a fixed combination (2x + 3y - z = 10, x - y + 2z = 5 -> 7x + 3y + 4z)
  • digits and fractions

Lessons

  1. Start hereThe idea and the methodFirst lesson of Linear Equations
  2. 1.Two variable word5 questions + fresh variants
  3. 2.Parameter infinite no solution4 questions + fresh variantsJIPMAT 2023
  4. 3.Temperature scale conversion1 question + fresh variantsIndore 2026 SA (like)
  5. 4.Three variable system1 question + fresh variants
  6. 5.Consistency1 question + fresh variants
  7. 6.Linear combination trick3 questions
  8. 7.Symmetric coefficient system1 question + fresh variants
  9. 8.Digit fraction word2 questions + fresh variants