Solving Systems by Graphing
Determine whether the ordered pair is a solution to the system.
(6, -5)
5x + 6y = 0
2x + y = 7
Yes
Solve the system by substitution.
x + y = -4
x - y = 10
(3, -7)
Solve the system by elimination.
2x + y = 9
-2x - 3y = 13
(10, -11)
What should my solution be for an inconsistent system?
False Statement
What year was the first “Star Wars” movie released?
Solve the system by graphing.
y = -x - 2
y = -x - 4
(1, -3)
Solve the system by substitution.
y = 3x
4x + y = 49
(7, 21)
Solve the system by elimination.
x + 2y = 13
x + 6y = 45
(-3, 8)
When graphed, an inconsistent system of 2 linear equations consists of ________.
Parallel Lines
What’s the rarest blood type in humans?
AB Negative
Determine whether (−3, 4) is a solution to the system.
2x − y = −10
3x + 4y = 1
No
Solve the system by substitution.
x + y = -4
x = -3y
(-6, 2)
Solve the system by elimination.
3x + 4y = 3
2x - 7y = 31
(5, -3)
Consistent Dependent consists of what type of lines?
What does “CPU” stand for in computers?
Central Processing Unit
Solve the system by graphing.
x + y = 3
2y = -2x + 6
All points on y = -x + 3
(coinciding lines)
Solve the system by substitution.
5x + 2y = 1
x − 2y = 5
(1, -2)
Solve the system by elimination.
x - y = -2
6x + y = -19
(-3, -1)
Solve each system. Then classify it as consistent independent, consistent dependent, or inconsistent.
x + y = -4
x + y = -8
0 = -12
Inconsistent
In what country is it common to find square watermelons?
Japan
Solve the system by graphing.
2x + y = 4
x + 2y = −1
(3,-2)
Solve the system by substitution.
3x − 6y = 15
2x + 8y = −2
(3, -1)
Solve the system by elimination.
5x − 2y = 3
2x + 3y = 24
(3, 6)
Solve each system. Then classify it as consistent independent, consistent dependent, or inconsistent.
x − 2y = 6
2x + 5y = 3
(4, -1)
Consistent Independent
What is the smallest country in the world?
Vatican City