Solving Systems Using Substitution

2 or more linear equations with the same set of variables

• System
• System of Equations
• Linear Equations
• Quadratic Equations

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

a method of solving a system of equations by taking a variable out and replacing it with an expression.

• Systems by Graphing
• Systems by Substitution
• Systems by Elimination
• Systems by Drawing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve:
y=8x+1
y=6x+3

• (1, 9)
• (4, 14)
• (0, 1)
• (2, 4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system?
2x + 3y = 4
y= 5x - 27

• (5,-2)
• (5, 2)
• (2,3)
• (3,2)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which answer has a correct first step for this system:

3x + 3y = 3

y = 3x + 5

• The variable is already isolated, so we've already solved the system.

• The variable is already isolated for y, so we substitute it in the first equation and solve for x

  3x + 3(3x + 5) = 3

• Free sha vaca doo

• The variable is already isolated for y, so we substitute it in the second equation and solve for x

  y = 3(3x + 3y) = 3

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the following systems of equations using substitution:

x = 6

y = 2x - 3

• (6, 6)

• (6, 9)

• (9, 6)

• (9, 9)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

How many solutions does the graph have?

• One solution

• No solution

• Infinite solutions

Tags

CCSS.8.EE.C.8A

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

Find the solution of the system of equations below using the substitution method:

y = 2x - 4

7x - 2y = 5

• (-1, -6)

• (-1, -8)

• (-2, 6)

• (1, -8),

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (-3, -8)

• (-8, 3)

• (2, 3)

• (-8, -6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6