Create and Solve Linear Systems

The last step to solving a system by any method is to _____.

• write an ordered pair

• substitute

• graph the lines

You can solve systems using these methods:

• graphing, substitution, and elimination

• rearranging, thinking, and guessing

• only by graphing

Which method requires you to put equations in slope intercept form, graph, and look for an intersection?

• graphing

• elimination

• substitution

Which method of solving is this system best set up for?

   4x + 8y = 20

-4x + 2y = -30

• graphing

• elimination

• substitution

If one variable is isolated in one equation, but not in the other ____ may be the quickest way to the solution.

• graphing

• elimination

• substitution

Which method of solving is this system best set up for?

• graphing

• elimination

• substitution

Which method may be fastest if both equations are in standard form with the x's and y's lined up?

• graphing

• substitution

• elimination

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

Lisa and Tammy are selling items at the craft show.  Which might be a reasonable solution from the graph showing the number of items sold when they both have earned the same amount?

• (1, 12)

• (3, 19)

• (5, 25)

• (0, 10)

Systems of linear equations can have one, infinite, or no solutions.

• True

• False