Graphically
Addition Method
Substitution Method
Special Cases
100
What is the solution to the system graphed below?
(4,5)
100
Solve the system of equations using the ADDITION METHOD.
x + y = 7
x - y = 3
x = 5
y = 2
(5,2)
100
Solve the system of equations using the SUBSTITUTION METHOD.
3x + y = 15
y = -15
x = 10
y = -15
(10,-15)
100
What is the solution to the system graphed below?
No Solution.
200
What is the solution to the graphed system below?
(-1,3)
200
Solve the system of equations using the ADDITION METHOD.
2x + y = 13
6x - y = 11
x = 3
y = 7
(3,7)
200
Solve the system of equations using the SUBSTITUTION METHOD.
x + y = -1
y = -2x + 3
x = 4
y = -5
(4,-5)
200
When linear equations in a system have the same slope, how many solutions does it have? Explain.
No solutions because they are parallel lines.
300
What is the solution to the graphed system below?
(3,-2)
300
Solve the system of equations using the ADDITION METHOD.
2x + 6y = -18
-2x - 4y = -2
y = -10
x = 21
(21,-10)
300
Solve the system of equations using the SUBSTITUTION METHOD.
x - y = 2
x = -6 - y
y = -4
x = -2
(-2,-4)
300
Given an example of a line that is parallel to the linear equation below.
y = -5x + 47
y = -5x + any number.
400
What is the solution to the graphed system below?
No solution.
400
Solve the system of equations using the ADDITION METHOD.
4x + 3y = 7
5x - y = 4
x = 1
y = 1
(1,1)
400
Solve the system of equations using the SUBSTITUTION METHOD.
y = -x + 3
y = x + 1
x = 1
y = 2
(1,2)
400
Given an example of a line that is perpendicular to the linear equation below.
y = -5x + 47
y = 1/5x + any number.
500
Solve the system of equations below graphically.
y = - x - 1
y = -2x + 3
(4,-5)
500
Solve the system of equations using the ADDITION METHOD.
-2x + 3y = 7
3x - 8y = 14
y = -7
x = -14
(-14,-7)
500
Solve the system of equations using the SUBSTITUTION METHOD.
y = 5x + 3
-5x - y = -23
x = 2
y = 13
(2,13)
500
How many solutions does the system of equations below have?
y = 2x + 6
4y = 8x + 24
Infinitely many solutions.