Solve Systems by Graphing
Solve Systems by Graphing II
Solve Systems Algebraically - Horizontal and Vertical Lines
Solve Systems with two diagonal lines
Vocabulary
100

x + y = -3

y = x + 3

What is (-3, 0)

100

y = x 

y = 2x - 4

What is (4, 4)

100

y = 2

y = 2x - 4

What is (3, 2)

100

y = 2x

y - x = 15

What is (15, 30)

100
A system of equations
What is "a set of two linear equations?"
200

y = 2x

y = x + 1

What is (1, 2)

200

y = x + 3

y = -2x - 3

What is (-2, 1)

200

x = 6

2x - y = 5

What is (6, 7)

200

y = x + 5

y = 6

What is (1, 6)

200
What does the solution to a system of equations look like?
What is "coordinate pair"
300

y = 3x

y - 4 = 3x

What is no solution

300

y - 4x = 8

y = 2(2x + 4)

What is colinear, infinitely many solutions

300

y = x - 10

y = -12

What is (-2, -12)

300

x + y = -3

y = x + 3

What is (-3, 0)

300
How do you know when you have solved a system of equations?
What is "you will have an intersections point?"
400

y = -2x

x = 0

What is (0, 0)

400

x - y = 3

y = x - 3

What is colinear, infinitely many solutions

400

y = -2x

x = 0

What is (0, 0)

400

y = x + 12

y + x = 36

What is (12, 24)

400
Solve systems of equations by drawing lines.
What is solve systems of equations by graphing.
500

y = 1/4 x

x + 4y = 8

What is (4, 1)

500

y = 1/4x

4y - x = 8

What is no solution

500

x = 1/3

y = 9x + 6

What is (1/3, 9)

500

y = 2x - 3

x + y = 18

What is (7, 11)

500
Solve a system of equations by substituting values for variables.
What is solving systems of equations algebraically.
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