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Solving Systems of Equations by Graphing

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Presentation on theme: "Solving Systems of Equations by Graphing"— Presentation transcript:

1 Solving Systems of Equations by Graphing
The lines intersect at (2, 1), so (2, 1) is the solution. Check That was easy

2 More Solving Systems of Equations by Graphing
The lines intersect at (6, -1), so (6, -1) is the solution. Check That was easy

3 Systems With No Solution
The lines do not intersect, so there is no solution. Notice that the lines have the same slope with different y-intercepts. The lines are parallel. That was easy

4 Systems With Infinitely Many Solutions
The lines are exactly the same, so there are an infinite number of solutions Notice that the lines have the same slope and the same y-intercepts. The lines are exactly the same. That was easy

5 Summary of Types of Solutions to Systems of Equations
Different Slopes The lines intersect at one point, so there is one solution. Same Slopes & Different y-Intercepts The lines never intersect, so there are no solutions. Same Slopes & Same y-Intercepts The lines exactly the same, so there are an infinite number of solutions.

6 Solving Systems of Equations by Substitution
Check Check Asi de Facil

7 More Solving Systems of Equations by Substitution
Check

8 Homework Page 367: 10 – 18 Even Numbers Page 375: 12 – 22 Even Numbers

9 Solving Systems of Equations by Elimination
That was easy Check Check

10 Multiplying by Negative 1
Asi de Facil

11 Multiplying by Numbers Other Than 1
Asi de Facil

12 Multiplying by Both Equations
Asi de Facil

13 Homework Page 382: 8 – 20 Even Numbers


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