Example elimination method
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The document describes the elimination method for solving systems of linear equations. It explains that the first step is to multiply one equation by a number to eliminate a term in the other equation. Then the system can be solved as a single equation using addition. Finally, substitute a solved variable back into one of the original equations to find the other variable. Examples and exercises are provided to illustrate the elimination method.
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Example elimination method
- 1. ELIMINATION METHOD. Daniela Sánchez Rodríguez. Mireya Genol Morales. María Sánchez García.
- 2. The first thing we need to do is to multiply the first equation of the system by the number of the first term in the second equation but changing its sign. Then we need to solve the system as if we were doing an addition. The last thing we need to do is to substitute the value of “y” in any of the two equations in order to get the value of “x”.
- 3. Examples: 2x + y = 5 x - 3y = 6 -3x + 2y = 1 2x + 5y =12
- 4. Exercises: 2x - 3y = -5 -5x + 7y = 11 5x + 6y = 20 x + y = 2000 3x + 8y = 34 x + 10x + y + 15y = 2260 x - 5y = 8 -7x + 8y = 25 100 100
- 5. In a school there are 60 teachers spread over two pavilions, A and B. 30% of A and 10% of B are men, making a total of 10 teachers. How many teachers are there in each pavilion?