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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

UNIT 2  : SYSTEMS OF EQUATIONS

LESSON 4 :  SOLVING SYSTEMS HOMEWORK QUESTIONS

 

Rectangular Callout: Strategies for Substitution Method. § Isolate one of the variables if it has a coefficient of 1. § Substitute this isolated variable in the other equation. § Solve for the remaining variable. § Substitute the value of the solved variable in one of the original equations. § Solve for the second variable.

 

 

Rectangular Callout: Strategies for Elimination by Addition or Subtraction Method. § Find the LCM for the coefficients of either x or y. This will be the common coefficient. § Multiply both equations by appropriate numbers to obtain this common coefficient. § Add the 2 equations if the coefficients have different signs. § Subtract the 2 equations if the coefficients have the same sign. § Solve for the remaining variable. § Substitute the value of the solved variable in one of the original equations. § Solve for the second variable.

 

 

 


1.  Solve each of the following systems by the appropriate method. Check question (a) only

 

 

 

Solutions:

 

 

 

 

 

 

 

 

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