Introduction to Substitution Method

Solve the system of equations using substitution:

4x - 2y = 6

y = 3x - 3

• (3, 6)

• (0, 1)

• (0, -3)

• (2, 3)

• No solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system:
x + y = 19
y = 3x - 1

• (14, 5)

• (11, 8)

• (5, 14)

• (8, 11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Determine if the system has one solution, infinitely many solutions, or no solution.

• One Solution

• Infinitely Many Solutions

• No Solution

Tags

CCSS.8.EE.C.8B

Which equation is correctly using substitution for the system shown?

• x + 6 = -2x − 3

• y = x + 6 − 2x − 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What does it mean to substitute?

• to add different variables together and see what you get

• to graph and find the intersection

• guess and check

• to replace the value of a variable with an equivalent expression

Tags

CCSS.6.EE.A.2C

Which one shows the correct substitution for the system?

• 2(2x + 1) - 3y = 7

• 2x - 3(2x + 1) = 7

• y + 2x - 3y = 8

• 2x - 2x + 1 = 7

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which one shows the correct substitution for the system?

x = 7 + y

y = 7 - 2x

• x = 7 + (7 - 2x)

• y = 7 - 7 + y

• x = 7 + 7

• 7 + y = 7 - 2x

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which choice shows substitution correctly?

• 2x + 4(3y - 7) = 9

• 2(3y -7) + 4y = 9

Using the substitution method to solve this system, what would be the first step?

• Substitute 3x+1 for x in the second equation

• Substitute 3x+1 for y in the second equation

• solve the first equation

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Write the new equation to solve after using the substitution process correctly for the system.

y = 5x - 7

-3x - 2y= -12

• -3(5x - 7) - 2y= -12

• -3x - 2(5x-7) = -12

• -3x -2y = 12(5x-7)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6