Solve by Substitution Method

Solve the system of equations using substitution:
-4x + 4y = 8
y = -2x - 10

• (-4, -2)

• (12, -34)

• (4, -18)

• (-2, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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

• (3,1)

• (1,3)

• (-3,1)

• (3,-1)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

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

• (1, -20)

• (3, 0)

• (-5, -2)

• (10 , -9)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

Solve the system of equations by substitution.
y = -4x + 5
y =  3x - 16

• (-3, -25)

• (3,-7)

• (11, 17)

• (21, 47)

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.HSA.REI.C.6

CCSS.8.EE.C.8B

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

•  (6, 1)

• (6, −4)

• (6, −1)

• Infinite number of solutions  

Tags

CCSS.HSA.REI.C.6

In order to use the substitution method, which variable is the easiest to "get by itself" in the following system:
8x - 3y = 20
x + 4y = 38

• x

• y

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

• No solution 

•  (7, 7)  

•  (−7, −7)  

•  (−7, −3)  

Solve the following system.
y=4
 x=3y+5

• (27,4)

• (12,4)

• (17,4)

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B