| In the real world, most situations require more than two variables to describe them. For example, we can describe the simple motion of a ball in two variables: distance and time. But to describe the weather, we need many more variables. We seek to describe such situations with a system of linear equations, one for each variable we have. This enables us to find a solution for each variable. So, if we have two equations in two variables, we can find a solution, or the exact values of the variables that solve both. |
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9.1 Graphing Systems of Linear Equations & Inequalities |
- Graph systems of two equations in two unknowns.
- Graph systems of two inequalities and shade the region of intersection. |
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9.2 Solving Systems by Graphing |
- Find the coordinates of the intersection of two linear equations (by inspection) from the graph of the lines.
- Determine the solution set of a system of inequalities by showing the region of intersection. |
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9.3 Solving Systems by Substitution |
| - Solve systems of two equations in two unknowns by substitution. |
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9.4 Solving Systems by Elimination |
| - Solve a system of equations by elimination. |
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9.5 Additional Assignments |
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