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
(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