'Write equation 1' diaporamas de présentation

EXAMPLE 1

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Warm Up

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Use addition to eliminate a variable

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SOLUTION

EXAMPLE 1. A linear system with no solution. Show that the linear system has no solution. 3 x + 2 y = 10. Equation 1. 3 x + 2 y = 2. Equation 2. SOLUTION. METHOD 1 Graphing. Graph the linear system. ANSWER.

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EXAMPLE 3

ANSWER. Because the lines have the same slope and the same y -intercept, the system has infinitely many solutions. EXAMPLE 3. Identify the number of solutions. Without solving the linear system, tell whether the linear system has one solution , no solution , or infinitely many solutions.

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KAYAKING

During a kayaking trip, a kayaker travels 12 miles upstream (against the current) and 12 miles downstream (with the current), as shown. The speed of the current remained constant during the trip. Find the average speed of the kayak in still water and the speed of the current. EXAMPLE 4.

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EXAMPLE 4

Marketing.

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ANTIFREEZE

EXAMPLE 4. Solve a mixture problem. ANTIFREEZE.

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EXAMPLE 3

EXAMPLE 3. Standardized Test Practice. SOLUTION. Write verbal models for this situation. EXAMPLE 3. Standardized Test Practice. Equation 1. Equation 2. Write a system of equations. STEP 2. EXAMPLE 3. Standardized Test Practice. Equation 1. 5 x + 7 y = 2500.

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