This presentation discusses the best methods for solving different types of systems of equations and explains why each method is best. It analyzes three sets of equations: Set A is best solved with elimination because the equations are in standard form and the y-term can be eliminated without multiplying; Set B is best solved with graphing because the equations must be in slope-intercept form to graph; Set C is best solved with substitution because one equation has x alone which can easily be substituted into the second equation.

1. Which method of solving systems is
best?
And why?

2. In this presentation
 You will learn which method is best and
why.
 Don't say 'it is best because it is easiest.'
That is not explaining why.

3. See the systems below
 Set A: 2x – 7y = 10 5x + 7y =19
 Set B: y= 6x -13 y =-1/3x +4
 Set C: x = -10y + 2 4x – 6y = 8
 Which method is best for each set and
why?

4.  Set A: 2x – 7y = 10 5x + 7y =19
 Best Method : Elimination
 Why? Both equations are in the same form
(Standard) and the y-term can be
eliminated without multiplying.

5.  Set B: y= 6x -13 y =-1/3x +4
 Best Method: Graphing
 Why? Both equations are in slope intercept
form. To graph an equation, it must be in
slope intercept form.

6.  Set C: x = -10y + 2 4x – 6y = 8
 Best Method: Substitution
 Why? The variable 'x' is by itself. It is easy
to substitution '-10y+2' in for the 'x' of the
second equation.

7. Hint
 Use the main idea from each method in
your explanation (you substitute in
substitution, you eliminate in elimination,
you graph with graphing)