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| What is the formula for systems of two linear equations? |
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Definition
Ax+By=C Equation 1
Dx+Ey=F Equation 2 |
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| What is the Solution of the Systems of two linear equations? |
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Definition
| the solution is an ordered pair (x,y) that satisfies each equation. |
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| a solution that has at least one solution |
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| a system that has no solution |
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| What is the the name of a consistant system that has exactly one solution? |
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| what is the name of a consistant system that has infinitely many sloutions? |
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| What are the steps in the substitution method? |
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Definition
Step1: solve, one of the equations for one of its variables
step2: substitute the expresion from step1 into the other equation and solve for the other variable
step3: Substitute, the value from step 2 into the revised equation from step1 and solve |
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| What are the steps in the elimination method? |
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Definition
step1: Multiply one or both of the equations by a constant to obatain coefficients that differ only in sign for one of the variables
Step2: Add the revised equations from step1. Combining like terms will eliminate one of the variables. Solve for the remaining variable.
Step3: Substitute the value obtained in step step into either of the orginal equations and solve for the other variables |
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| what is the formula for the system of linear inequalities?(formualas are subject to change) |
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Definition
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| what is a solution for the systems of linear inequalities |
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Definition
| an ordered pair that is a solution of each incequality in the system |
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| What are the steps in graphing a system of linear Inequalites? |
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Definition
Step1: graph each inequality in the system. You may want to use colored pencils to distinguish the different half-planes.
Step2: indentify the reigion that is common to all the graphs of the inequalities. This region is the graph of the system. If you used colored pencils, the graph of the systems is the region that has been shaded with every color |
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