Vocabulary
Solving Systems: Graphing
Solving Systems: Substitution
Solving systems:
Elimination
Elimination
100
A ___________ is when two linear equations intersect.
System of Linear Equations
100
When should you use the graphing method to solve a system of linear equations?
when questions are written in slope-intercept form ...
aka when the equations are easy to graph.
100
When should you use the substitution method to solve a system of linear equations?
when you already know the value of one variable ( ex: y=6)
100
-7x - 6y = 14
7x -3y = -14
x = -2
y =0
200
At least how many equations will be in a system of linear equations?
What is 2 equations?
200
What is the solution to the system of linear equations?
(0,2)
200
What is the solution (x,y) to the system of linear equations?
5x+2=y
x=2
(2,12)
200
-4x - y = 18
4x - 6y = 24
x = -3
y = -6
300
The ___________________ to a system of linear equations is where the equations have values for x and y that make both equations true, typically formatted (x,y).
What is a solution?
300
What is the solution to the system of linear equations?
(-1,4)
300
What is the solution to the system?
y=7x-10
y=-3
(1,-3)
300
-12x + 6y = -6
-6x + 3y = -6
no solution
400
What type of solution ends with a false statement, ie. 0=2?
What is no solution?
400
What is the solution to the system of linear equations?
(2,9)
400
What is the solution to the system?
2x+5y=19
y=3x-3
(2, 3)
400
-3x + 6y = -3
x - 8y = -17
x = 7
y = 3
500
What type of solution ends with a true statement, ie 2=2?
What is infinitely many solutions?
500
What is the solution to the system of linear equations?
No solutions
500
What is the solution to the system?
5x-6y=-3
y=3x+7
(-3,-2)
500
-36x - 9y = 0
8x + 2y = 0
infinity many solutions, any number combination will work.