Simultaneous equations (English subtitles available)

In considering the number of different gift boxes of tea, the idea of the solutions of linear equations in two unknowns is introduced. It points out that there is not a unique solution for a linear equation in two unknowns as the possible solutions are the dots on a straight line in the coordinate plane. The programme uses the inter-crossing station of the KCR and MTR route to bring forth the idea of the graphical solution of simultaneous equations. The unique solution is given by the point of intersection of the two straight line graphs. In the discussion of solving a problem of mixing two kinds of tea, the procedures of solving problems of simultaneous equations are introduced: Step (1): Use letters to represent unknowns. Step (2): Use given conditions to form equations. Step (3): Solve equations (graphical, substitution or elimination). Step (4): Check solution. It also points out the approximate nature of the graphical solutions and thus introduces the algebraic methods, substitution and elimination, for solving simultaneous equations to obtain accurate solutions.
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