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1.2 The Method of Substitution

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Page 1: 1.2 The Method of Substitution. Intersection of Lines Yesterday we talked about solving when two lines intersect… – How did we do that? – Are they equal

1.2 The Method of Substitution

Page 2: 1.2 The Method of Substitution. Intersection of Lines Yesterday we talked about solving when two lines intersect… – How did we do that? – Are they equal

Intersection of Lines

• Yesterday we talked about solving when two lines intersect…– How did we do that?

– Are they equal to each other there?

Page 3: 1.2 The Method of Substitution. Intersection of Lines Yesterday we talked about solving when two lines intersect… – How did we do that? – Are they equal

Intersection of Lines

• Today we are going to find out a new way of finding when two lines are equal.

Page 4: 1.2 The Method of Substitution. Intersection of Lines Yesterday we talked about solving when two lines intersect… – How did we do that? – Are they equal

Can I solve this?

Page 5: 1.2 The Method of Substitution. Intersection of Lines Yesterday we talked about solving when two lines intersect… – How did we do that? – Are they equal

How about that?

Page 6: 1.2 The Method of Substitution. Intersection of Lines Yesterday we talked about solving when two lines intersect… – How did we do that? – Are they equal

Planes again…

• Yesterday we had a question that involved Mr. Richards renting or owning a plane. The 2 equations we came up with were:

Owning =>

Renting =>

Page 7: 1.2 The Method of Substitution. Intersection of Lines Yesterday we talked about solving when two lines intersect… – How did we do that? – Are they equal

Substitution

• The ProcessStep 1: Isolate one variable (whichever is easier)Step 2: Plug whatever variable you isolated into the other equationStep 3: Substitute back into one of original eqn to find missing infoStep 4: Check your answer

Page 8: 1.2 The Method of Substitution. Intersection of Lines Yesterday we talked about solving when two lines intersect… – How did we do that? – Are they equal

Substitution

• Find when the 2 lines are equal (point of intersection):

Page 9: 1.2 The Method of Substitution. Intersection of Lines Yesterday we talked about solving when two lines intersect… – How did we do that? – Are they equal

Questions

• Pg 26 #’s 1-6,8,15


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