Question

Solve the equation. Check your answer.
StartFraction g minus 7 Over 7 EndFraction
equalstwo sevenths

Answer 1

To solve the equation

\[
\frac{g - 7}{7} = \frac{2}{7},
\]

we can start by eliminating the fraction by multiplying both sides by 7:

\[
g - 7 = 2.
\]

Next, we'll isolate \(g\) by adding 7 to both sides:

\[
g = 2 + 7,
\]

\[
g = 9.
\]

Now, let's check our solution by substituting \(g = 9\) back into the original equation:

\[
\frac{9 - 7}{7} = \frac{2}{7}.
\]

Calculating the left side:

\[
\frac{2}{7} = \frac{2}{7}.
\]

Since both sides are equal, our solution is verified.

Thus, the solution to the equation is

\[
\boxed{9}.
\]