Back to Maths on Exam Trends
Pair of Linear Equations
High trendapprox. 5 marksSections B/C/D — one algebraic solve (substitution or elimination), a consistency/number-of-solutions check, and one framed word problem.
CBSE 2027 — dates, rules and official papers →Ask the tutor1In word problems, define both variables and write both equations before solving — an answer with no framed equations loses the setup marks even if the final numbers are right.
Notesformulae · proofs · mind-map — one view
Learn the 5 conceptsteach yourself first, then practise each
Graphical method (two lines: intersecting → unique, parallel → none, coincident → infinite)2–3 marks Visual
Plot both lines and read the solution off the intersection point.
Consistency conditions (a₁/a₂ vs b₁/b₂ vs c₁/c₂)1–3 marks
Decide the number of solutions or find k without solving.
Substitution method2–3 marks Visual
Express one variable and plug into the other equation.
Elimination method2–3 marks Visual
Match coefficients, add/subtract to knock out one variable.
Framing & solving word problems (ages, speed, digits, fractions)3–5 marks
Turn a real situation into a solvable pair of equations.
When you’re ready — practise or test the whole topic