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Si [tex]$a=15[tex]$[/tex] y [tex]$[/tex]3a - 4b = 17[tex]$[/tex], entonces el valor de [tex]$[/tex]b$[/tex] es:

Sagot :

GinnyAnswer
¡Claro! Vamos a resolver la ecuación paso a paso.

Dado que \( a = 15 \) y la ecuación es \( 3a - 4b = 17 \), podemos seguir estos pasos:

1. Primero, sustituimos el valor de \( a \) en la ecuación:
[tex]\[ 3(15) - 4b = 17 \][/tex]

2. Ahora, realizamos la multiplicación:
[tex]\[ 45 - 4b = 17 \][/tex]

3. Para despejar \( b \), primero restamos 45 de ambos lados de la ecuación:
[tex]\[ 45 - 4b - 45 = 17 - 45 \][/tex]
Esto simplifica a:
[tex]\[ -4b = -28 \][/tex]

4. Finalmente, dividimos ambos lados de la ecuación entre -4 para encontrar el valor de \( b \):
[tex]\[ b = \frac{-28}{-4} \][/tex]
Simplificando la fracción obtenemos:
[tex]\[ b = 7 \][/tex]

Por lo tanto, el valor de [tex]\( b \)[/tex] es [tex]\( 7 \)[/tex].
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