Pregunta
To solve the equation \( y=4=9 \) for \( y \), what operation must be applied to both sides in order to isolate the variable y? a.) Divide by 4 b.) Subtract 4 c.) Add 4 d.) Multiply by 4
Ask by Ray Savage. in the United States
Jan 26,2025
Solución de tutoría real
Respuesta verificada por el tutor
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To solve \( y + 4 = 9 \), subtract 4 from both sides to isolate \( y \).
Solución
To solve the equation \( y + 4 = 9 \) for \( y \), you need to isolate \( y \) by removing the constant term on the same side as \( y \).
Here’s how you can do it:
1. **Original Equation:**
\[
y + 4 = 9
\]
2. **Subtract 4 from both sides:**
\[
y + 4 - 4 = 9 - 4
\]
\[
y = 5
\]
By subtracting 4 from both sides, you isolate \( y \) and find its value.
**Correct Operation:**
**b.) Subtract 4**
**Answer:**
**b.) Subtract 4**
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Simplifique esta solución Extra Insights
The equation given seems to be misformatted, as it states \( y = 4 = 9 \), which doesn't make sense because a variable can't equal two different values at the same time. However, if you meant \( y = 4 \), then you wouldn’t need to apply any operations to isolate \( y \) since it is already isolated. If we consider a scenario that involves algebraic manipulation, the correct operation to perform depends on what you need to achieve. If you were looking to solve \( 4 = y - 9 \), you would add 9 to both sides to isolate \( y \). In any case, always ensure the equation is clearly defined to avoid confusion, as it can lead to misinterpretation. Happy math solving!
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