All about Systems of Equations
Solving Systems of Linear Equations: Graphing
Solving Systems of Linear Equations: Substitution
100
What is a LINEAR equation?
An equation that when graphed, creates a line.
100
How many solutions can a system of linear equations have?
one, none/zero, or infinitely many solutions
100
What does the word "substitute" mean?
To exchange/trade/etc.
200
True or False:
It does not matter which method you use when solving systems of linear equations because they will all give you the same answer.
True
200
How many solutions will a set of parallel lines have?
Zero
200
What is the first step when solving a system of linear equations using the SUBSTITUTION method?
Isolate the variable
300
What does it mean to "find the solution" to a system of linear equations?
It means to find the point (x and y value of) where the 2 lines intersect.
300
How many solutions are represented in the graph?
1 solution
300
18) What is the result of using the first equation to substitute for y in the second equation?
y=2x
3x+y=20
5x=20
400
At least how many linear equations will be in a system of linear equations?
At least 2 linear equations
400
14) What is the solution to the system of linear equations?
(2,2)
400
How would you isolate x in this equation?
5x=20
Divide both sides by 5
500
What are two methods we have learned for solving systems of linear equations?
Graphing and substitution
500
What is the solution to the system of linear equations?
Infinitely many solutions
500
Use the substitution method to solve the system of linear equations:
y=2x
3x+y=20
Solution: (4,8)