Solving Systems of Linear Equations All Methods

How many solutions does this system have?

• No Solution

• Infinitely Many Solutions

• No Clue

• One solution

What is the solution to the linear system?

• (-8, -6)

• (-6, -8)

• (8, -6)

• No solution

Solve by elimination:

4x + 4y = 4

3x + 4y = 10

• x = 7,y = -6

• x = -6, y = 7

• x = 6, y = 7

• x = 7, y = 6

When solving a system of equations algebraically, which statement results imply infinite solutions?

• 4 = 7

• 2 = 2

• -3 = 3

• all of the above

When solving a system of equations algebraically, which statement results would mean no solution?

• 4 = 7

• 2 = 2

• x = 5, y = 2

• (0, 0)

Identify which method for solving systems is being described by this fact:

When solving the system a false statement results like 0 = 6 or 4 = -1 and the answer is No Solutions.

• Graphing

• Substitution

• Elimination (adding or multiplying)

• All 3 methods

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

Which method is most appropriate?

• Substitution

• Elimination

• Graphing

Which operation would allow elimination by either addition or subtraction? (check all that apply---take your time!)

• Double the bottom row

• Divide the top row by 2

• Multiply the bottom row by 4

• Multiply the top row by 4

• Multiply the top row by 2 and the bottom row by 4

Which is the correct setup for SUBSTITUTION for the systems:

• 8x+5(-3x-6)=-9

• 8(-3x-6)+5y=-9

• 8x+5y=-3x-6

• y=-3(8x+5y)-6