Lección 10: Sistemas de ecuaciones lineales y sus soluciones (Alg1.2.17)

[color=#0000ff][size=200][b][icon]/images/ggb/toolbar/mode_zoom.png[/icon]Conversación matemática[/b][/size][/color]
¿Qué es lo que notas? ¿Qué pregunta harías con la siguiente información?
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[/img]
[color=#0000ff][size=200][b][icon]/images/ggb/toolbar/mode_zoom.png[/icon]Un sistema curioso[/b][/size][/color]
André intentó resolver este sistema de ecuaciones:
[size=150][math]\begin {cases} x + y = 3\\ 4x = 12 - 4y \end{cases}[/math][/size][br][br][size=150]Al observar la primera ecuación, pensó: "La solución del sistema es un par de números que sumados dan como resultado 3. ¿Qué números serán?". [br][/size][br]Elige dos números que sumados den 3. Que [math]x[/math] sea el primer número y [math]y[/math] el segundo número.
Par de números que has elegido es una solución de la primera ecuación. Ahora comprueba si también es una solución de la segunda ecuación. A continuación, haz una breve pausa para debatir con tu grupo.[br]
¿Cuántas soluciones tiene el sistema? Utiliza lo que sabes sobre ecuaciones o sobre la resolución de sistemas para demostrar que estás en lo cierto.
[color=#0000ff][b][size=200][icon]/images/ggb/toolbar/mode_pen.png[/icon]Clasificación de sistemas[/size][/b][/color]
Cada tarjeta contiene un sistema de ecuaciones. Clasifica los sistemas en tres grupos según el número de soluciones que tenga cada uno. Prepárate para explicar cómo sabes a qué grupo pertenece.
[color=#0000ff][b][size=200][icon]/images/ggb/toolbar/mode_zoom.png[/icon]¡Vamos por el reto![/size][/b][/color]
Dada una primera ecuación:[br][br][math]5x-2y=10[/math][br][br]Crea una segunda ecuación que forme un sistema de ecuaciones con una solución. [br]
Crea una ecuación que forme un segundo sistema de ecuaciones (con la ecuación original) pero ahora que el sistema no tenga solución.
Finalmente, crea una ecuación que forme un tercer sistema de ecuaciones (con la ecuación original) y que tenga como resultado un número infinito de soluciones.
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Information: Lección 10: Sistemas de ecuaciones lineales y sus soluciones (Alg1.2.17)