Solving Systems of Equations by Graphing

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Presentation transcript:

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

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

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

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

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.

Solving Systems of Equations by Substitution Check Check Asi de Facil

More Solving Systems of Equations by Substitution Check

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

Solving Systems of Equations by Elimination That was easy Check Check

Multiplying by Negative 1 Asi de Facil

Multiplying by Numbers Other Than 1 Asi de Facil

Multiplying by Both Equations Asi de Facil

Homework Page 382: 8 – 20 Even Numbers