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Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many.

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Presentation on theme: "Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many."— Presentation transcript:

1 Warm - Up Are you smarter than a 4 th grader???: There are three times as many dogs as birds There are 5 more cats than birds There are 24 cats How many dogs are there?

2 Alg2 Lesson 3-6 Systems with 3 variables Objectives: 1.Solve a system with 3 variables using elimination or substitution.

3 Graphs of Systems with 3 variables

4 Steps for Solving Systems of 3 Variables Use the first two equations and solve for one of the variables ( call new equation #4) Use the last two equations and solve for the same variable (call new equation #5) Use the two new equations (#4 and #5) and solve for one variable Substitute your known variable into equation #4 or #5 to solve for a second variable Substitute both known variables into one of the original equations to find final unknown variable

5 Simple example:

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