Question

Solve for a,a.
11, equals, minus, start fraction, 3, divided by, 10, end fraction, a, plus, 2
11=
−
10
3
​
a+2

Answer 1

To solve the equation

\[
11 = -\frac{3}{10}a + 2,
\]

we can start by isolating the term with \(a\).

1. Subtract 2 from both sides:

\[
11 - 2 = -\frac{3}{10}a,
\]

which simplifies to:

\[
9 = -\frac{3}{10}a.
\]

2. To get rid of the negative sign and the fraction, we can multiply both sides by -1:

\[
-9 = \frac{3}{10}a.
\]

3. Next, multiply both sides by \( \frac{10}{3} \) to solve for \(a\):

\[
a = -9 \times \frac{10}{3}.
\]

4. Simplifying that gives:

\[
a = -\frac{90}{3} = -30.
\]

So, the solution is

\[
a = -30.
\]