The Wonderful Wizard of Oz
Helps with Solving Systems of Equations

Click on the words Substitution, Graphing, and Linear Combination

SUBSTITUTION

Step 1-Sove one of the equations for on of its variables.

Step 2-Substitute the expression from the first step into the other equation and solve for the other variables.

Step 3-Substitute the value from step 2 into the revised equation from step 1 and solve.

GRAPHING

To graph a system of linear inequalities, do the following for each inequality in the system:
  • Graph the line that corresponds to the inequality. Use a dashed line for an inequality with < or > and a solid line for an inequality with < or >.
  • Lightly shade the half-plane that is the graph of the inequality. Colored pencils may help you distinguish the different half-planes.

The graph of the system is the region common to all of the half-planes. If you used colored pencils, it is the region that has been shaded with every color.

Linear Combination

Step 1-Multiply one or both of the equations by a consistant to obtain coefficients that differ only in sign for one of the varibles.

Step 2- Add the revised equations from step1. Combining like terms will eliminate one of the varibles. Solve for the remaning variable.

Step 3-Substitute the value obtained in step 2into either of the original equations and solve for the other variable.

Of course you will want to know how to solve a
WORD PROBLEM
AND MUCH MUCH MORE

 

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