Question
Solve for a,a.
start fraction, 3, divided by, 10, end fraction, a, minus, 18, equals, 6
10
3
a−18=
6
start fraction, 3, divided by, 10, end fraction, a, minus, 18, equals, 6
10
3
a−18=
6
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{3}{10} a - 18 = 6 \), follow these steps:
1. **Add 18 to both sides** to isolate the term with \( a \):
\[
\frac{3}{10} a - 18 + 18 = 6 + 18
\]
This simplifies to:
\[
\frac{3}{10} a = 24
\]
2. **Multiply both sides by the reciprocal of \(\frac{3}{10}\)**, which is \(\frac{10}{3}\):
\[
a = 24 \times \frac{10}{3}
\]
Simplifying that:
\[
a = \frac{240}{3}
\]
\[
a = 80
\]
Thus, the solution is:
\[
\boxed{80}
\]
1. **Add 18 to both sides** to isolate the term with \( a \):
\[
\frac{3}{10} a - 18 + 18 = 6 + 18
\]
This simplifies to:
\[
\frac{3}{10} a = 24
\]
2. **Multiply both sides by the reciprocal of \(\frac{3}{10}\)**, which is \(\frac{10}{3}\):
\[
a = 24 \times \frac{10}{3}
\]
Simplifying that:
\[
a = \frac{240}{3}
\]
\[
a = 80
\]
Thus, the solution is:
\[
\boxed{80}
\]
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