Hardy Schultz
05/18/2023 · Junior High School
d) \( \frac{2 x}{3}+y=7 \), si el valor de \( y=1 \)
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Tutor-Verified Answer
Step-by-step Solution
Para resolver la ecuación \( \frac{2x}{3} + y = 7 \) dado que \( y = 1 \), simplemente sustituimos el valor de \( y \) en la ecuación:
\[
\frac{2x}{3} + 1 = 7
\]
Ahora, restamos 1 de ambos lados de la ecuación:
\[
\frac{2x}{3} = 7 - 1
\]
\[
\frac{2x}{3} = 6
\]
A continuación, multiplicamos ambos lados de la ecuación por 3 para eliminar el denominador:
\[
2x = 6 \cdot 3
\]
\[
2x = 18
\]
Finalmente, dividimos ambos lados entre 2 para despejar \( x \):
\[
x = \frac{18}{2}
\]
\[
x = 9
\]
Por lo tanto, el valor de \( x \) es \( 9 \).
Quick Answer
El valor de \( x \) es \( 9 \).
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