# 6.5 Applying Systems of Linear Equations

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6.5 Applying Systems of Linear Equations
Objective: Determine the best method for solving systems of equations Apply systems of equations

Method The Best time to Use
Graphing To Estimate Solutions Substitution If one of the variables in either equation has a coefficient of 1 or -1 Elimination Using Addition If one of the variables has opposite coefficients in two equations Elimination Using Subtraction If one of the variables has the same coefficient in the two equations Elimination Using Multiplication If none of the coefficients are 1 or -1 and neither variable can be eliminated by adding or subtracting

Poll: Determine the best method to solve 3x - ...
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Poll: Determine the best method to solve x - y...
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Poll: Determine the best method to solve 5x + ...
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Poll: Determine the best method to solve 4x - ...
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Word Problems

Of the 17 species of penguins in the world, the largest species is the emperor penguin. One of the smallest is the Galapagos penguin. The total height of the two penguins is 169 centimeters. The emperor penguin is 22 centimeters more than twice the height of the Galapagos penguins. Find the height of each penguin.

Steve subscribed to 10 podcasts for a total of 340 minutes
Steve subscribed to 10 podcasts for a total of 340 minutes. He used his two favorite tags, Hobbies and Recreation and Soliloquies. Each of the Hobbies and Recreation episode lasted about 32 minutes. Each Soliloquies episode lasted 42 minutes. How many of each tag did Steve subscribe?

Tamera and Adelina are throwing a birthday party for their friend
Tamera and Adelina are throwing a birthday party for their friend. Tamera invited 5 fewer friends than Adelina. Together they invited 47 guests. How many guests did each girl invite?

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