All about Systems of Equations
Solving Systems of Linear Equations: Graphing
Solutions
100
What is a LINEAR equation?
An equation that when graphed, creates a straight line.
100
How many solutions are represented in the graph?
1 solution
100
How many solutions can a system of linear equations have?
one, none/zero, or infinitely many solutions
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
14) What is the solution to the system of linear equations?
(2,2)
200
How many solutions will a set of parallel lines have?
Zero
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
Solve by graphing:
y=-2x+5
y=3x
(1, 3)
300
What is the solution to the system of equations in the graph below?
No solution
400
At least how many linear equations will be in a system of linear equations?
At least 2 linear equations
400
Solve by graphing:
y=1/2x -5
y=x+1
(-12, -11)
400
What is the solution to the system of linear equations?
Infinitely many solutions
500
What are the 3 methods for solving systems of linear equations?
Graphing, substitution, and elimination
500
Solve by graphing:
y=2/3x+6
2x+3y=12
(-1.5, 5)
500
Solve by graphing:
y=-2/3x+6
2x+3y=12
No Solution
