Vocab
What does it mean if the equations are multiples of each other?
What is the there are infinite solutions
Based on the system, what is the value of
2x+6y?
6x+5y=42
-4x+y=10
What is 52
How many solutions are there with a pair of parallel lines?
What is Substitution?
what is solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.
What is elimination?
What is the process of canceling out a variable to solve for another in a system of equations
The Bennett family and the Cole family are going to go see a movie together. The Bennetts purchase 1 adult ticket and 3 child tickets for a total of $42. The Coles purchase 2 adult tickets and 2 child tickets for a total of $45.
How much does each type of ticket cost?
What is $6
How many solutions are there when the lines intersect?
What is 1 solution
What is the way to solve a system by graphing?
What is graphing and looking for the intersection
What does is it mean if the coefficents are mutliples of each other but the constant is not?
What is no solution, because it has the same slope but a different y-intercept.
Solve the system for (x,y).
1.4x-2y=9
4.2x-6y=15
What is no solution
How many solutions are there if there the two equations create the same lines?
What is infinite solutions
What type of line does a linear equation form when graphing?
What is a straight line