Question
Suppose \( 5 x+3 y=15 \). Find \( y \) if: \( x=3 \) \( y=\square \)
Ask by Ortega Lawson. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
When \( x = 3 \), \( y = 0 \).
Solution
We start with the equation 5x + 3y = 15. Substitute x = 3 into the equation:
5(3) + 3y = 15
15 + 3y = 15
Subtract 15 from both sides:
3y = 15 - 15
3y = 0
Now, divide both sides by 3:
y = 0
So, when x = 3, y = 0.
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Bonus Knowledge
To find \( y \) when \( x = 3 \), substitute \( x \) into the equation \( 5x + 3y = 15 \): \[ 5(3) + 3y = 15 \] Calculating \( 5(3) \) gives \( 15 \), so we have: \[ 15 + 3y = 15 \] Now, subtract \( 15 \) from both sides: \[ 3y = 0 \] Finally, divide both sides by \( 3 \): \[ y = 0 \] So, if \( x = 3 \), then \( y = 0 \).