Lesson 6.5 Applying Systems of Equations, Lesson 6.4 Elimination Using Multiplication, Lesson 6.3 Elimination Using Addition and Subtraction, Lesson 6.1 Graphing Systems of Equations

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(6, 4)

-x + 3y = 6, x + 3y = 18

(5, 6)

-x + y = 1, x + y = 11

(-1, 2)

2m + 3n = 4, -m + 2n = 5

(2.5, 0)

2x + 2y = 5, 4x - 4y = 10

(-3, 4)

2x + 3y = 6, x + 2y = 5

(-3, -5)

2x - 3y = 9, 5x + 3y = -30

(1, 1)

3a - b = 2, a + 2b = 3

(-3, 7)

3x + 4y = 19, 3x + 6y = 33

(2, -1)

3x + 4y = 2, 4x - 4y = 12

(-5, -4)

3x - 2y = -7, 2x - 5y = 10

(-4, -2)

3x - 4y = -4, x + 3y = 10

(-1, -2)

3x - y = -1, -3x - y = 5

(10, 4)

3x - y = 26, -2x - y = -24

(-1, 2)

4x + 5y = 6, 6x - 7y = -20

(-0.5, 2)

4x - 3y = -8, 2x + 2y = 3

(4, -2)

4x - 3y = 22, 2x - y = 10

(2, -1)

4x - y = 9, 5x + 2y = 8

(-1, 1)

5x - y = -6, -x + y = 2

y = -2/3x + 2 and y = -2/3x - 2

What are the equations for this system?

y = -3 and y = x - 1

What are the equations for this system?

y = -3/2x + 3 and y = -3/2x + 1

What are the equations for this system?

y = -3/2x and y = -1/2x

What are the equations for this system?

y = -4x + 3 and y = -4x - 2

What are the equations for this system?

y = 1/2x - 2 and x - 2y = 4

What are the equations for this system?

y = 2x + 1 and 2x - y = -1

What are the equations for this system?

y = 2x + 1 and y = -1/2x + 4

What are the equations for this system?

y = 3x - 4 and y = -x

What are the equations for this system?

infinitely many solutions

What is the SOLUTION to the system?

no solution

What is the SOLUTION to the system?

one solution; (-2, -3)

What is the SOLUTION to the system?

one solution; (0, 0)

What is the SOLUTION to the system?

one solution; (1, -1)

What is the SOLUTION to the system?

one solution; (2, 3)

What is the SOLUTION to the system?

elimination with subtraction

Which method is best for solving x + 3y = 12 and x + y = 6

elimination with addition

Which method is best for solving: 2x - 6y = 18 and 3x + 6y = 24

elimination with multiplication

Which method is best for solving: 2x - 6y = 18 and x + 5y = 10?

substitution

Which method is best for solving: x = 3y - 2 and 2x - 7y = 16

graphing

Which method is best for solving: y = 4x - 1 and y = 5x + 7

graphing

Which method is best for solving: y = x - 2 and y = x + 4

substitution

Which method is best for solving: y = x - 4 and 4x - 6y = 10

(1, 0.2)

x + 10y = 3, 4x + 5y = 5

(-8, 0)

x + 4y = -8, x - 4y = -8

(11, 0)

x + 4y = 11, x - 6y = 11

no solution

x + y = 3, 2x + 2y = 4

infinitely many solutions

x + y = 3, 2x + 2y = 6

(2, 1)

x - y = 1, x + y = 3

(0, -4)

x - y = 4, 2x + y = -4


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