Question
1. \( 3 y=2+3 y \) \( 2 . x+24=-2 \cdot 4 \) \( 3 . x-17 \cdot 3=-51 \)
Ask by Lyons Mathis. in Colombia
Mar 14,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
1. La ecuación \( 3y = 2 + 3y \) no tiene solución.
2. La solución de \( x + 24 = -2 \cdot 4 \) es \( x = -32 \).
3. La solución de \( x - 17 \cdot 3 = -51 \) es \( x = 0 \).
Solution
**1. Resolver \( 3y = 2 + 3y \):**
Restamos \( 3y \) de ambos lados para aislar la variable:
\[
3y - 3y = 2 + 3y - 3y
\]
\[
0 = 2
\]
Esta igualdad es imposible, por lo tanto, **la ecuación no tiene solución.**
---
**2. Resolver \( x + 24 = -2 \cdot 4 \):**
Primero, calculamos el producto:
\[
-2 \cdot 4 = -8
\]
Así, la ecuación se convierte en:
\[
x + 24 = -8
\]
Restamos 24 de ambos lados:
\[
x = -8 - 24
\]
\[
x = -32
\]
Por lo tanto, **la solución es \( x = -32 \).**
---
**3. Resolver \( x - 17 \cdot 3 = -51 \):**
Calculamos el producto:
\[
17 \cdot 3 = 51
\]
La ecuación se transforma en:
\[
x - 51 = -51
\]
Sumamos 51 a ambos lados:
\[
x = -51 + 51
\]
\[
x = 0
\]
Así, **la solución es \( x = 0 \).**
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Simplify this solution Mind Expander
Let’s have some fun solving these equations! For the first equation \( 3y = 2 + 3y \), if you subtract \( 3y \) from both sides, you get \( 0 = 2 \), which isn’t true. This means the equation has no solution! In the second equation \( 2x + 24 = -2 \cdot 4 \), simplifying gives \( 2x + 24 = -8 \). Subtracting 24 from both sides leads to \( 2x = -32 \), so \( x = -16 \). For the third equation \( x - 17 \cdot 3 = -51 \), start by calculating \( 17 \cdot 3 = 51 \). The equation becomes \( x - 51 = -51 \). Add 51 to both sides, and you find \( x = 0 \). Now you can solve whatever comes your way!
