Terms
What is a System of Equations?
A set of linear equations that has more than one variable.
A group (set) of more than one equation.
What is the solution to the system using the Graphical Method.
y = x + 4
y = 2x + 5
(-1,3)
The solution to the system using the Elimination Method :
x + y = -6
x - y = -10
(-8, 2)
The solution to the system using the Substitution Method:
x = 4y
2x + 3y = 22
(8, 2)
What is slope?
The ratio of rise to run.
The steepness of a line.
The solution to the system of equations using the Graphical Method:
y = 3x - 2
y = -x + 2
(1,1)
The solution to the system using the Elimination Method:
8x + 5y = 18
2x - 5y = -8
(1, 2)
The solution to the system using the Substitution Method:
y = x - 2
3x - y = 16
(7, 5)
The single pair of variables that satisfy both equations is ...
a unique solution
The solution to the system of equations using the Graphical Method:
y = -3
x = 5
(5, -3)
Solve the system of equations using the Elimination Method:
2x - y = 2
3x + y = 3
(1, 0)
The solution to the system using the Substitution Method:
y = 3x - 1
7x + 2y = 37
(3, 8)
What is slope-intercept form?
y = mx + b
The solution to the system of equations using the Graphical Method:
y = (1/3)x - 3
2x - y = 8
(3, -2)
The solution to the system using the Elimination Method:
5x - y = 20
4x + 3y = 16
(4, 0)
The solution to the system using the Substitution Method:
3x - 2y = 4
y = 2x - 1
(-2, -5)
Which method of solving a system of equations is solved by adding or subtracting equations with a common term?
Elimination Method
The solution to the system using the Graphical Method:
3x - 2y = 12
2x - y = 5
(-2, -9)
Solve the system of equations using the Elimination Method:
2x + 3y = 6
3x + 5y = 15
(-15, 12)
The solution to the system using the Substitution Method:
2x + y = 20
3x + 4y = 40
(8, 4)