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dexar [7]
2 years ago
9

¿Qué pasa cuando nos enfrentamos con dos incógnitas, en el caso de que las ecuaciones que se generen sean de primer grado y form

en un sistema de ecuaciones?
Mathematics
1 answer:
kolbaska11 [484]2 years ago
7 0
<h2>Explicación:</h2><h2 />

Una ecuación de primer grado es una ecuación lineal en la que se ven involucradas una o más variables, sin existir productos entre ellas. Por ejemplo, una ecuación de primer grado con dos incógnitas es:

y=mx+b \\ \\m:pendiente \\ \\ b:y-intercept

De manera que un sistema de ecuaciones con dos incógnitas podría ser:

y=m_{1}x+b_{1} \\ \\ y=m_{2}x+b_{2}

que representan ecuaciones de rectas.

Existen tres posibilidades:

1. Una solución:

Ocurre cuando las rectas no son paralelas, es decir:

m_{1}\neq m_{2}

Entonces la solución es la intersección de estas dos rectas.

2. Infinitas soluciones:

Ocurre cuando las ecuaciones son las mismas, en cuyo caso las rectas son las mismas y se intersectan en todos los puntos, es decir:

m_{1}=m_{2} \\ \\ b_{1}=b_{2}

3. Ninguna solución:

Ocurre cuando las rectas son paralelas pero tienen distinta intersección con el eje y, es decir:

m_{1}=m_{2} \\ \\ b_{1}\neq b_{2}

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