Question
Suppose \( 4 x+6 y=24 \). Find \( y \) if: \( x=-\frac{1}{4} \) \( y=\square \)
Ask by Coles Davison. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = \frac{25}{6} \)
Solution
First, substitute x = -1/4 into the equation:
4(-1/4) + 6y = 24
Simplify 4(-1/4) to get -1:
-1 + 6y = 24
Now add 1 to both sides:
6y = 25
Finally, divide both sides by 6:
y = 25/6
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Simplify this solution The Deep Dive
To find \( y \) when \( x = -\frac{1}{4} \), we can substitute this value into the equation \( 4x + 6y = 24 \). First, substitute \( x \): \[ 4\left(-\frac{1}{4}\right) + 6y = 24 \] This simplifies to: \[ -1 + 6y = 24 \] Next, add 1 to both sides: \[ 6y = 25 \] Now, divide both sides by 6: \[ y = \frac{25}{6} \] So, when \( x = -\frac{1}{4} \), \( y = \frac{25}{6} \).
