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Coordinates,Distance and Midpoint

Linear Inequalities

The Graphical Method

Substitution & Elimination

Solving Systems Using Matrices

Problem Solving

Systems of Inequalities

Systems with 3 Equations in 3 Unknowns

Review&Test

 

 

jdsmathnotes

 


UNIT 2  : SYSTEMS OF EQUATIONS

LESSON 4 :  PROBLEM SOLVING USING SYSTEMS OF EQUATIONS

 

Systems of equations are often used to solve problems in math, science and business.  First we must build a mathematical model

of the problem.  The following example illustrates how this is done.  It is followed by a blue box outlining the key steps in the strategy.

 

Rectangular Callout: Strategies for Solving Word Problems Involving Two Unknowns. § What is unknown or what are you asked to find?. § Assign a different variable to each unknown. § Translate each statement about the unknowns into an equation. § Solve the resulting system of equations using substitution, elimination or matrices. § Make a conclusion answering the question posed in the problem. § Check your conclusion using the original wording of the problem, not the equations.

 

 

 


 

 

 

 

 

Direction

Distance

Speed

Time

Equation(d=st)

upsteam

downstream

 

 

 

 

 

Distance

Speed

Equation(t=d/s)

At 50 mph

At 60 mph

 

 

 

 

 

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