Pair of Linear Equations in Two Variables
Class 10 · Mathematics
3 ideas in Class 10 Mathematics, explained in plain words, with games and quizzes to practise.
Graphs and Number of Solutions
Part of: Graphs and Number of Solutions
Each linear equation in two variables represents a line. Intersections give solutions; parallel distinct lines have none, and coincident lines share infinitely many points.
Why it matters. A pair of equations can model two conditions and reveal whether they agree on a solution.
Try it in two minutes
- Name each unknown quantity.
- Turn each condition into an equation.
- Check a proposed pair in both equations and in the original context.
Try at home. Invent two totals using two kinds of objects, define a variable for each count, and write a pair of equations.
Coefficient Conditions for Line Pairs
Part of: Coefficient Conditions for Line Pairs
Comparing ratios of coefficients classifies two linear equations: unequal a-ratios and b-ratios indicate intersection; all three equal indicate coincidence; equal a and b ratios but a different constant ratio indicate parallel lines.
Why it matters. A pair of equations can model two conditions and reveal whether they agree on a solution.
Try it in two minutes
- Name each unknown quantity.
- Turn each condition into an equation.
- Check a proposed pair in both equations and in the original context.
Try at home. Invent two totals using two kinds of objects, define a variable for each count, and write a pair of equations.
Forming and Solving Linear Pairs
Part of: Forming and Solving Linear Pairs
A situation can be represented by two linear equations in two variables. A solution must satisfy both conditions and should fit the quantities in the context.
Why it matters. A pair of equations can model two conditions and reveal whether they agree on a solution.
Try it in two minutes
- Name each unknown quantity.
- Turn each condition into an equation.
- Check a proposed pair in both equations and in the original context.
Try at home. Invent two totals using two kinds of objects, define a variable for each count, and write a pair of equations.
What your child will practise
- Coefficient Conditions for Line Pairs: Desert Quick Fire (Quick Fire)
- Coefficient Conditions for Line Pairs: Jungle Puzzle (Clue Puzzle)
- Coefficient Conditions for Line Pairs: Number Sort (Sort It Out)
- Forming and Solving Linear Pairs: Mission Control Quest (Collect the Answer)
- Graphs and Number of Solutions: Ocean Quick Fire (Quick Fire)
- Quiz: Coefficient Conditions for Line Pairs (8 questions)
- Quiz: Forming and Solving Linear Pairs (8 questions)
- Quiz: Graphs and Number of Solutions (8 questions)