Question

Solve for a,a.
5, plus, start fraction, 9, divided by, 10, end fraction, a, equals, 14
5+
10
9
​
a=
1

Answer 1

To solve the equation \( 5 + \frac{9}{10} a = 14 \) for \( a \), follow these steps:

1. **Isolate the term with \( a \)**:
\[
\frac{9}{10} a = 14 - 5
\]
Simplifying the right side:
\[
\frac{9}{10} a = 9
\]

2. **Eliminate the fraction by multiplying both sides by \( \frac{10}{9} \)**:
\[
a = 9 \cdot \frac{10}{9}
\]
Simplifying gives:
\[
a = 10
\]

So, the solution is:
\[ a = 10 \]