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Pair of Linear Equations — Part 2: Algebraic methods and word problems

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Lesson

Pair of Linear Equations, Part 2: Solving algebraically

Graphs show the idea; algebra gives the exact answer.

In this lesson you will

  • Solve a pair of linear equations by substitution
  • Solve a pair of linear equations by elimination
  • Recognise no solution or infinitely many solutions during elimination
  • Model money, age, number and mixture problems as a pair of equations
  • Interpret and check solutions in the context of the problem
  • 4x+3y=294x + 3y = 29
  • 3x−2y=93x - 2y = 9
Elimination gives the same point the graph shows: $(5, 3)$.