Pregunta
Does \( (9,6) \) make the equation \( y=x-3 \) true?
Ask by Lyons Ford. in the United States
Jan 30,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\((9, 6)\) satisfies the equation \(y = x - 3\).
Solución
Yes, the point \((9, 6)\) satisfies the equation \(y = x - 3\). Here's how you can verify it:
1. **Substitute the \(x\)-value into the equation:**
\[
y = 9 - 3 = 6
\]
2. **Compare the result with the \(y\)-value of the point:**
\[
y = 6 \quad \text{(from the point)} \\
y = 6 \quad \text{(from the equation)}
\]
Since both sides of the equation are equal (\(6 = 6\)), the point \((9, 6)\) indeed makes the equation \(y = x - 3\) true.
**Conclusion:** \((9, 6)\) lies on the line defined by \(y = x - 3\).
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Simplifique esta solución Mind Expander
To check if the point \( (9,6) \) makes the equation \( y = x - 3 \) true, we need to substitute \( x = 9 \) into the equation. So, we calculate: \[ y = 9 - 3 = 6 \] Since the value of \( y \) we calculated is \( 6 \), which matches the \( y \)-coordinate of the point \( (9, 6) \), the equation holds true. Therefore, yes, the point \( (9, 6) \) satisfies the equation \( y = x - 3 \).
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