Question
Solve for \( y \) \[ \frac{y-2}{10}=\frac{3}{4} \]
Ask by Matthews Ruiz. in the United States
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = \frac{19}{2} \)
Solution
We start with the equation:
(y - 2)/10 = 3/4
Step 1: Multiply both sides by 10 to eliminate the fraction on the left:
y - 2 = 10 × (3/4)
y - 2 = 30/4
Step 2: Simplify 30/4 by dividing numerator and denominator by 2:
30/4 = 15/2
So we have:
y - 2 = 15/2
Step 3: Add 2 to both sides to solve for y. To add, express 2 as a fraction with denominator 2:
2 = 4/2
Now add the fractions:
y = 15/2 + 4/2
y = (15 + 4)/2
y = 19/2
The solution is y = 19/2.
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Simplify this solution Extra Insights
To solve for \( y \), start by eliminating the fraction on the left side. You can do this by multiplying both sides of the equation by 10: \[ y - 2 = 10 \cdot \frac{3}{4} \] Calculating the right side gives: \[ y - 2 = \frac{30}{4} = 7.5 \] Next, add 2 to both sides to isolate \( y \): \[ y = 7.5 + 2 \] Calculating the right side results in: \[ y = 9.5 \] Thus, the solution is: \[ \boxed{9.5} \]
