Lesson 564 of 1524
Systems of Linear Equations
To solve a system of linear equations by graphing Step 1.
Practice this chapterTo solve a system of linear equations by graphing Step 1. Determine whether the lines intersect, are parallel, or are the same line
If the lines intersect, identify the point of intersection. If the lines are parallel, the system has no solution.
system of linear equations — When two or more linear equations are grouped together, they form a system of linear equations. lines — parallel, the system has no solution. dependent equations — Two equations are dependent if all the solutions of one equation are also solutions of the other equation. supplementary angles — Two angles are supplementary if the sum of the measures of their angles is 180 degrees.
Be able to determine the number of solutions from the graph of a linear system; determine the number of solutions of a linear system by looking at the slopes and intercepts; determine the number of solutions and how to classify a system of equations.
Worked example
What does “system of linear equations” mean in Systems of Linear Equations?
- 1Use the wording this chapter gives for system of linear equations.
- 2The book says: When two or more linear equations are grouped together, they form a system of linear equations.
- 3Do not use the meaning of lines. That term means parallel, the system has no solution.
Result: When two or more linear equations are grouped together, they form a system of linear equations
Why. That is the meaning this chapter gives for system of linear equations.
Do not swap system of linear equations and lines. system of linear equations means When two or more linear equations are grouped together, they form a system of linear equations. lines means parallel, the system has no solution.
Practice margin
This chapter
A fresh set from this chapter only. Choose 10 or 20. Multiple choice and fill-in, with no repeat inside the set.