Pair of Linear Equations in Two Variables
Two taxi companies charge a fixed fee plus a rate for each kilometre. For how many kilometres do they cost the same? Two linear equations answer a question like this. In this chapter you draw a pair of equations as two lines, decide when they meet, never meet or coincide, and solve them by substitution, elimination and cross-multiplication. Then you turn word problems about ages, speeds and fractions into pairs of equations. Python solves any pair and checks the answer.
Part of Mathematics · High School (9–10) (chapter 10)
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Graphs and Consistency of Pairs of Equations
A pair of linear equations drawn as two lines. When the lines cross, run parallel or coincide, and how the coefficients tell you which without drawing.
Solving Pairs of Equations Algebraically
Substitution, elimination and cross-multiplication. Then equations that become linear after a change of variable, and word problems about numbers, ages, speeds, money and geometry.
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