Algebra 1 Lines Systems

When does a system of equations have no solutions?

• When the lines cross

• When slopes of the lines are different

• When the slopes are the same

• There is ALWAYS a solution sir!

Tags

CCSS.8.EE.C.8B

Solve the system of Equation (x,y)
x + 4y = –3
 x + 7y = –12 

• (-3,9)

• (9,-3)

• (3,9)

• (9,3)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
7x+y=-9

-3x-y=5

• No solution

• (1,8)

• (-2,-3)

• (-1,-2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

You solve a system of equations and you last line is:

y = y

What does this mean?

• The graph is of one line on top of another line.

• There are infinite number of solutions.

• The graph is of parallel lines.

• There is no solution.

• The solution is (0, 0)

Tags

CCSS.8.EE.C.8B

4x+8y=20
-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve using elimination. 
−4x − 4y = 0
4x + 4y = 0 

• (−6, −4) 

• Infinite number of solutions  

• (−6, 10) 

• (6, 4) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

-4x - 6y = 6
4x + 6y = -4

• no solution

• (2,0)

• (-4,0)

• (0,0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system

-4x - 2y = -12

4x + 8y = -24

• 6

• ( 6 , -6 )

• ( -6 , 6 )

• ( 3 , -3 )

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:
-9x-4y=-20

5x+4y=4

• (-4,4)

• (4,4)

• (4,-4)

• (-4,-4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by elimination:

7x+y=-9

3x+y=-5

• No solution

• (1,8)

• (-2,-3)

• (-1,-2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6