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7.2 Two-Variable Linear Systems Elimination method.

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Presentation on theme: "7.2 Two-Variable Linear Systems Elimination method."— Presentation transcript:

1 7.2 Two-Variable Linear Systems Elimination method

2 Solve for (x, y) Given the System, I want to reduce the number of variables. By multiplying both sides of each equation by a number, we can have opposite coefficients to add together to eliminate a variable.

3 Solve for (x, y) Given

4 Solve for (x, y) Given Now to find x replace y with 10, in either equation

5 Solve for (x, y) Given

6 Airplane Speed An airplane flying into a headwind travels the 1800-mile flying distance between Pittsburgh, Pennsylvania and Phoenix, Arizona in 3 hour hours and 36 minutes. On the return flight, the distance is traveled in 3 hours. Find the airspeed of the plane and the speed of the wind, assuming that both remain constant.

7 Airplane Speed Airplane travels the 1800-mile in 3 hour hours and 36 minutes. Return the same distance in 3 hours. Find the airspeed, speed of the wind, both constant. Write variable for Speeds Airplane speed r Wind speed w

8 Airplane Speed Airplane travels the 1800-mile in 3 hour hours and 36 minutes. Return the same distance in 3 hours. Airplane speed r Wind speed w

9 Airplane Speed

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12 Homework Page 495 -498 # 4, 16, 24, 32, 40, 48, 49, 63, 74, 80

13 Homework Page 495 -498 # 12, 20, 28, 36, 44, 52, 67, 76, 82


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