Solving Systems of Equations by Substitution

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

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

Tags

CCSS.8.EE.C.8A

y = −2
4x − 3y =18

• (3,-2)
• (-2,3)
• (2,-3)
• (3,3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

-2x - 2y = 16
y = -8

• (0, -8)
• (-16, -8)
• (-8, 0)
• (-16, -8)

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

Solve the system of equations.

y = 4x+1

3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• No solution

Tags

CCSS.8.EE.C.8B

Solve using substitution.

• (5, 4)

• (4, 5)

• (-5,4)

• (5,-4)

Solve the system of equations:
y=2x
x + y = 9

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

Tags

CCSS.HSA.REI.C.7

Solve:
y = -1x - 5
4x - 8y = 4

• (-3, -2)
• (5, -7)
• (3, 9)
• (-5, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:
x = -3y - 17
2x + 3y = -7

• (1, -20)
• (3, 0)
• (-5, -2)
• (10 , -9)

Tags

CCSS.HSA.REI.C.9

Solve the system by substitution. 
y = 2x − 11 
2x − 8y = 4 

•  (6, 1)
• (6, −4)
• (6, −1)
• Infinite number of solutions  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution.
 
5x + 4y= −14
y =  −7x  −  15 

• (-2, -1)
• (1, -2)
• (-2, 1)
• (-1, -2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6