Solving Systems of Equations Graphing Substitution Elimination

Which is the best method for solving this system of equations?

-4x-2y=-12

4x+8y=-24

• Substitution

• Elimination

• Graphing, Not Graphing...

  (aka Picturing the Graph)

  (aka Using graphing skills but not actually graphing)

Which is the best method for solving this system of equations?

x-y=11

2x+y=19

• Elimination

• Substitution

• Graphing, Not Graphing...

  (aka Picturing the Graph)

  (aka Using graphing skills but not actually graphing)

How many solutions does this system of equations have?

• One Solution

• No solution

• Infinitely Many Solutions

• Two Solutions

Should you use the Substitution or Elimination method to solve this system of equations?

• Substitution

• Elimination

Some of the values for two linear equations are shown in the tables below.

• ( -2, 4 )

• ( -2, -4 )

• ( -6, 10 )

• (10, 2 )

Each table represents (x,y) coordinates from two different equations of lines. The two lines are part of a system of equations. What is the solution of the system of equations?

• (5, 11)

• (2, 5)

• (-1, 1)

• (11, 5)

Each table represents (x,y) coordinates from two different equations of lines.

The two lines are part of a system of equations.

What is the solution of the system of equations?

• (5, 11)

• (2, 5)

• (-1, 1)

• (11, 5)

Which pair of lines has a solution at (-4, 6)?

• y = x - 2

  y = -x - 2

• y = -6

  y = x - 2

• y = -x +10

  y = x + 2

• y = 6

  y = -x + 2

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

• One Solution

• Infinitely Many Solutions

• No Solution

What system of equations would lead to this solution?