Substitution for Solving Linear Equations

• (2, 0)

• (-2, 8)

• Infinitely many solutions. 

• (8, -12)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• No solution

• (1, -1)

• (-1, -5)

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the first step in the substitution method?

• Step 2

• find the equation that is solved for the single variable

• substitute the expression into the other equation

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

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

• (3,-9)

• (-3,-9)

• (-3,9)

• (0,1)

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

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450

• 3x + 2y = 450
  2x + 4y = 315

• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.8.EE.C.8C

Solve the given system by using substitution method.

• Infinite number of solutions

• x = 0, y = 7

• x = -5, y = -7

• x = 5, y = 7

• no solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Using Substitution, solve for the following system of linear equations:

y = 2x + 5

y = 4x + 9

• (-2, 1)

• (-2, -1)

• (2, -1)

• (2, 1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6