Simultaneous Linear Equations

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Teaching Outlines

Concept #1 - Where do I use simultaenous equations

Learning objectives

1. There are two quantities/ parameters that are used together to describe something.
2. This is of the forms ax+by = c
3. You need two sets of equations to find the solutions.
4. Extend this understanding for different sets of variables.

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Concept #2 - Graphical Method of Simultaneous Equations

Learning objectives

1. State a given problem in algebraic terms
2. Identifying the variables
3. Interpret a linear equation as a line
4. Understand that the solution is a point on both the lines, they intersect

Notes for teachers

It is better to use the graphical method before the algebraic manipulation.

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Hints for difficult problems

Applications of Simultaneous Linear Equations - Exercise 3.5.5

Problem #5, Exercise 3.5.5, Page 213

The measure of the sides (in cms) of a triangle are :
${\frac {5}{3}}x+y+{\frac {1}{2}}$
$2x+{\frac {1}{2}}y$
${\frac {2}{3}}x+2y+{\frac {5}{2}}$

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