1. A system of linear equations is two or more linear equations that are being solved simultaneously.
2. The solution to a system of linear equations is the point at which the two lines intersect on a graph.
3. To solve a system of linear equations, you can use the substitution method, the elimination method, or graphing.
4. In the substitution method, you solve one equation for one variable and then substitute that expression into the other equation.
5. In the elimination method, you add or subtract the equations in the system in order to eliminate one of the variables.
6. If the system of equations has no solution, the lines are parallel and will never intersect.
7. If the system of equations has infinitely many solutions, the lines are the same and will intersect at every point.
8. To check if a point is a solution to a system of linear equations, substitute the values of the point into each equation and see if they are true.
9. If a system has no solutions, it is inconsistent. If a system has one unique solution, it is consistent and independent. If a system has infinitely many solutions, it is consistent and dependent.
10. Determinants can be used to determine the number of solutions a system of linear equations has.
Answers for Systems of Linear Equations Unit Test(unit 5 lesson 11)
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