Substitution for Solving Linear Equations

• (3,-7)

• No solutions

• Infinitely many solutions

• (5,11)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• No solution

• Infinitely many solutions

• (-3,7)

• (-2,-6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (2,-2)

• (-3,1)

• Infinitely many solutions

• No solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• No solution

• (-3,-3)

• Infinitely many solutions

• (-2,1)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

• (6,-2)

• (4,-8)

• Infinitely many solutions

• No solution

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Identify which method for solving systems is being described by this fact:
If one equation is isolated like y = 2x or x = 7 - 4y then this method should be used.

• Graphing

• Substitution

• Elimination (linear combination)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Solve this system by substitution.

• (1, -4)

• (1, 4)

• (-4, -7)

• (-7, -4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

When using any of the 3 methods to solve a system of linear equations the resulting solution is the same no matter which method is used.

• True; using any method will result in the correct solution.

• False; the solution varies because the solution depends on which method is used.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6