Simultaneous Linear Equations

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= Concept Map = Flash

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=Additional Information=

Reference Books
= Teaching Outlines =

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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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.

Activity No #

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Activity No #

 * Estimated Time
 * Materials/ Resources needed
 * Prerequisites/Instructions, if any
 * Multimedia resources
 * Website interactives/ links/ / Geogebra Applets
 * Process/ Developmental Questions
 * Evaluation
 * Question Corner

= Hints for difficult problems =

Problem #5, Exercise 3.5.5, Page 213
The measure of the sides (in cms) of a triangle are : $$\frac{5}{3}x+y+\frac{1}{2}$$ $$2x+\frac{1}{2}y$$ $$\frac{2}{3}x+2y+\frac{5}{2}$$ When does it becomhttp://karnatakaeducation.org.in/KOER/en/skins/common/images/button_bold.pnge an equilateral triangle?

How to solve
 * 1) These are measurements of the sides of the triangle
 * 2) Equate the three
 * 3) Substitute and solve for x and y.

Competencies
 * 1) Equilateral triangle must have all sides equal
 * 2) The sides of a triangle are line (segments) and can be expressed as a linear equation. Though this is not used for solving this problem
 * 3) Infer that if the sides are same, the expressions must be the same numerical value
 * 4) If that is true, I can use combine the expressions to express one in terms of the other
 * 5) Rearranging terms and combining expressions to form equations
 * 6) Solve

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