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CLASE 110

CLASE 110. SISTEMAS DE ECUACIONES LINEALES. 2. r 2. r 1. x. –. x + 3. +. y =. y =. 3. y. 1. 1. 4. 4. r 1. . r 2. x. 0. x – 4 y = – 1. 2 x + 3 y = 9. = { A }. A. r 2. y 1. A ( x 1 ; y 1 ). x 1. ¿A (3;1) ?. r 1. Método aditivo. 2 x + 3 y = 9.

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CLASE 110

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  1. CLASE 110 SISTEMAS DE ECUACIONES LINEALES

  2. 2 r2 r1 x – x + 3 + y = y = 3 y 1 1 4 4 r1  r2 x 0 x – 4y = – 1 2x + 3y = 9 = { A } A r2 y1 A (x1; y1) x1 ¿A (3;1)? r1

  3. Método aditivo 2x + 3y = 9 2x + 3y = 9 1 • x – 4y = – 1 – 2x + 8y = 2 (–2) • x – 4y = – 1 x – 4(1) = – 1 11y = 11 x – 4 = – 1 y = 1 x = 3 S = {(3;1)}

  4. 2x + 3y = 9 (I) x – 4y = – 1 (II) Método de sustitución Despejando x en (II) x – 4y = – 1 x = – 1 + 4 = 3 x = – 1 + 4y x = 3 Sustituyendo x en (I) 2x + 3y = 9 11y = 11 2(– 1 + 4y )+ 3y = 9 y = 1 – 2 + 8y + 3y = 9

  5. Trabajo independiente capítulo 1 epígrafe 13 Estudiar el ejemplo 1 Resolver el ejercicio 1 a) y f)

  6. Halla el conjunto solución de los siguientes sistemas de ecuaciones: 7x = 11y – 10 a) y = x – 10 – x + y = 2 b) 2x = 2y – 4 –2x + y = 1 c) x = – 1,5 + 0,5y

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