Graphing or Substitution Method
Substitution Method
Elimination Method
Review
Vocab
100
Solve the system of equations below.
y = 3x - 6
y = -x + 2
(2,0)
one solution
100
Solve the system of equations below.
y = 2x + 3
4x + 2y = -2
(-1,1)
one solution
100
What is the value of x in the solution of the system of equations below?
3x + 2y = 12
5x - 2y = 4
x = 2
100
What is the solution to this system of equations?
no solution
100
The point where two lines intersect.
The solution
200
Solve the system of equations below.
y = 4x - 3
y = 2x + 3
(3,9)
one solution
200
Solve the system of equations below.
x = -2y + 1
3x + 6y = 3
Infinitely many solutions
200
What is the solution of the system of equations below?
2x - 5y = 11
-2x + 3y = -9
(3, -1)
200
What is the solution to this system of equations?
(-1,3)
200
The method where you can eliminate one of the variables.
The elimination method.
300
Solve the system of equations below.
y = -2x + 2
y = -2x - 2
no solution
300
Solve the system of equations below.
x = -4y - 2
3x + 7y = 9
(10, -3)
one solution
300
What is the solution of the system of equations below?
-4x-2y=-12
4x+8y=-24
(6, -6)
one solution
300
If a system of equations has NO SOLUTIONS and this is one equation, what would be the other equation?
y = -5x - 4
Any equation in y = mx + b form with a slope of -5, but a different y-intercept.
Ex: y = -5x + 4
300
The type of solution when you graph a set of parallel lines.
No solution.
400
Solve the system of equations below.
x - y = 2
x = -2
(-2, -4)
one solution
400
Solve the system of equations below.
3x + 5y = 41
y = 4x - 1
(2,7)
one solution
400
What is the solution of the system of equations below?
x-y=11
2x+y=19
x=10
y = -1
400
If a system of equations has INFINITE SOLUTIONS and this is one equation, what would be the other equation?
y = 2x + 4
y = 2x + 4
400
How do you express the solution for a system of equations?
An ordered pair.
500
Solve the system of equations below.
y=4x+3
y=-x-2
(-1, -1)
one solution
500
Solve the system of equations below.
y = 5x - 7
-3x - 2y = -12
(2, 3)
one solution
500
What is the solution of the system of equations below?
-6x+5y=1
6x+4y=-10
y=-1
x = -1
500
Is the point (2,-1) the solution to this system of equations?
y = 3x - 7
4x - 5y = 13
yes
500
The method you can use if both equations are in slope-intercept form?
Graphing or Substitution