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¿Cuál es el valor de [tex][tex]$y$[/tex][/tex] en la ecuación lineal [tex][tex]$5y - 8 = 9x - 3 = 10$[/tex][/tex]?

Sagot :

GinnyAnswer
Vamos a resolver la ecuación dada: [tex]\( 5y - 8 = 9x - 3 = 10 \)[/tex].

Primero, vamos a considerar la parte de la ecuación que relaciona [tex]\( y \)[/tex]:
[tex]\[ 5y - 8 = 10 \][/tex]

1. Mover constante al otro lado:
Para aislar [tex]\( y \)[/tex], primero sumamos 8 a ambos lados de la ecuación:
[tex]\[ 5y - 8 + 8 = 10 + 8 \][/tex]
Simplificando, obtenemos:
[tex]\[ 5y = 18 \][/tex]

2. Dividir por el coeficiente de [tex]\( y \)[/tex]:
Ahora, dividimos ambos lados de la ecuación por 5 para obtener el valor de [tex]\( y \)[/tex]:
[tex]\[ y = \frac{18}{5} \][/tex]

Por lo tanto, el valor de [tex]\( y \)[/tex] es [tex]\( \frac{18}{5} \)[/tex].
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