Systems of Linear Equations

When you substitute into an equation that means to ____

• set the equation equal to itself

• keep the variable and add in the expression

• replace the variable with the expression

The first step to solving a system by substitution is to ______.

• put both equations in standard form

• make sure one of the equations has an isolated variable

• create opposites/inverses

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

• write an ordered pair

• substitute

• graph the lines

• 2x + 2x + 1 = 10

• 2(2x + 1) + y = 10

• 2x + 1 = 2x + 10

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

• True

• False

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?

y = -6x + 5

-2x + y = 5

• graphing

• elimination

• substitution