Graphing
Substitution
Elimination
Solve
Vocabulary
100
y = 2x + 2
y = x − 1
(-3, -4)
)
100
y = 2
3x + 2y = 10
What is (2, 2)?
100
x + 3y = 5
2x − 3y = −8
What is (−1, 2)?
100
Solve: 2x + 7y = 19
5x + 3y = -25
What is (-8, 5)?
100
Consists of two or more linear equations in the same variables.
What is a 'System of linear equations'? (linear system)
200
y = 2x + 4
y = 3x + 2
(2, 8)
200
x = −3y + 2
−x + 2y = 3
What is (−1, 1)?
200
−5y + 8x = −18
5y + 2x = 58
What is (4, 10)?
200
Solve -3x + 20 = y
4x -15 = y
What is (5, 5)?
200
The method of solving equations where you add or subtract equations to end up with one variable.
What is Elimination or Addition Method?
300
x = 3
y = 2x + 1
DOUBLE JEOPARDY
(3, 7)
300
x − 2y = −10
3x = y
What is (2, 6)?
300
3y − 5x = −26
−2y − 5x = −16
What is (4, −2)?
300
Solve: y = -5x - 12
7x + y + 16 = 0
What is (-2, -2)?
300
How can you tell if a linear system has infinitely many solutions?
What is the same, the graphed lines lie on top of one another?
400
4x + 2y = 8
2x + y = 4
Every point on 2x+y=4 is a solution.
400
2x – 3y = –2
y = −4x + 24
DOUBLE JEOPARDY
What is (5, 4)?
400
3x − 4y = 8
18x − 5y = 10
What is (0, -2)?
400
Solve: y = -1/3x + 3
2x + 2 + y = 0
What is (-3, 4)?
400
When will a system of linear equations have no solution?
What are parallel lines with different y-intercepts and the same slope.
500
y = 1/2 x + 2
y = 1/4 x + 4
(8, 6)
500
5x − 13 = y
−5x + y = 24
What is 'no solution'?
500
4x−9y = 2
12x−5y = −38
What is (-4, -2)?
500
Solve: -7x -6y +5 = 0
28 = 5x + 7y
DOUBLE JEOPARDY
(-7, 9)
500
How does the graphing method for solving a system of linear equations work?
What is graph the two lines and the solution is the point(s) of intersection.