Question
Which value of y makes the equation below correct? \( 2 y-25=19 \) A. 44 B. 22 C. -3 D. -6
Ask by Crawford Mills. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = 22 \), so the answer is B.
Solution
Solve the equation \( 2y-25=19 \).
Solve the equation by following steps:
- step0: Solve for \(y\):
\(2y-25=19\)
- step1: Move the constant to the right side:
\(2y=19+25\)
- step2: Add the numbers:
\(2y=44\)
- step3: Divide both sides:
\(\frac{2y}{2}=\frac{44}{2}\)
- step4: Divide the numbers:
\(y=22\)
The value of \( y \) that makes the equation correct is \( y = 22 \). Therefore, the correct answer is B. 22.
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Simplify this solution Extra Insights
To solve for \( y \), start by isolating \( y \). Add 25 to both sides of the equation: \( 2y - 25 + 25 = 19 + 25 \) This gives you \( 2y = 44 \). Now, divide both sides by 2 to find \( y \): \( y = 22 \). So the answer is B. Now that you have the answer, remember that equations imply balance. Think of them like a seesaw; what you do to one side must be done to the other to keep it balanced! Try plugging your answer back into the original equation to ensure it holds true! Replacing \( y \) with 22, you get \( 2(22) - 25 = 19 \), which simplifies to a true statement. Always double-check to avoid simple errors!
