Substitution Method: System of Equations

The first step in solving using the substitution method is __________.

• get x by itself
• get y by itself
• get either variable by itself
• add the equations together

Solve the system by substitution. 
-2x - 2y = 16
y = -8

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution. 
-5x - 4y = -9
y = 6

• (3, 6)
• (6, -3)
• (-3, 6)
• (6.8, 3)

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

Solve the system by substitution. 
3x − 2y = 7
y = 2x − 7 

• No solution  
• (7, 7)  
• (−7, −7)  
• (−7, −3)  

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution. 
−x + 5y = 12
y = −2x − 2 

• (−2, −7) 
• (−2, 2) 
• (−2, −2) 
• (2, −2) 

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system by substitution. 
y = 5
-6x+3y = 3

• (4,1)
• (2, 1)
• (1, 5)
• (2, 5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to the system of equations? (use Substitution)
y - 3x = -8
y = 4 - x

• (3,1)
• (-3,1)
• (1,3)
• (3,-1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve by substitution method
y = x + 24
y = -7x

• (-3, 21)
• (3, 21)
• (2, 21)
• (-2, 0)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6