Systems of Equations

Parallel Lines never intersect because...

• they have the same slopes. 
• they have the same y-intercept.
• they have different slopes.
• they have different y-intercepts. 

This system has _____ solutions

• no
• 1
• 2
• Infinitely many

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

What is the solution?

• (6, 3)
• (3, 6)
• (-6, 3)
• No solution

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Solve for x and y
y = 2x + 1
y = 4x - 1

• (1,3)
• (-1,-3)
• (-1,3)
• (3,1)

Solve the system of equations using the elimination method 
x + 4y = 9
-x + 6y = 11 

• (1,2)
• (2,4)
• (5,8)
• No solution

Solve by elimination:

4x + 9y = 28

-4x - y = -28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Solve for x and y

3x + 2y = 16

y = -7x + 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)