Question
28. \( 1-\frac{a}{18}=\frac{13}{18} \)
Ask by Lynch Murphy. in Kazakhstan
Feb 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
a = 5
Solution
Дано уравнение: 1 - (a/18) = 13/18
Для решения умножим обе части уравнения на 18, чтобы избавиться от знаменателей:
18·[1 - (a/18)] = 18·(13/18)
Получим:
18 - a = 13
Вычтем 18 из обеих частей:
-a = 13 - 18
-a = -5
Умножим обе части на -1:
a = 5
Ответ: a = 5.
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Simplify this solution The Deep Dive
To solve for \( a \) in the equation \( 1 - \frac{a}{18} = \frac{13}{18} \), first, you can isolate the \( \frac{a}{18} \) term. Start by subtracting \( \frac{13}{18} \) from both sides: \[ 1 - \frac{13}{18} = \frac{a}{18} \] Now, convert \( 1 \) to a fraction with a denominator of 18: \[ \frac{18}{18} - \frac{13}{18} = \frac{a}{18} \] This simplifies to: \[ \frac{5}{18} = \frac{a}{18} \] Finally, multiply both sides by 18 to solve for \( a \): \[ a = 5 \] Thus, the solution is \( a = 5 \).
