Question

Solve the equation. Check your answer.
16.34equals3gplus3.59

Answer 1

To solve the equation \( 16.34 = 3g + 3.59 \), we will isolate the variable \( g \).

1. Start by subtracting \( 3.59 \) from both sides of the equation:

\[
16.34 - 3.59 = 3g
\]

Simplifying the left side:

\[
12.75 = 3g
\]

2. Next, divide both sides by \( 3 \) to solve for \( g \):

\[
g = \frac{12.75}{3}
\]

Calculating the division:

\[
g = 4.25
\]

Now, we will check our answer by substituting \( g = 4.25 \) back into the original equation:

1. Substitute \( g \) into the equation:

\[
3g + 3.59 = 3(4.25) + 3.59
\]

2. Calculate \( 3(4.25) \):

\[
3(4.25) = 12.75
\]

3. Now, add \( 3.59 \):

\[
12.75 + 3.59 = 16.34
\]

Since both sides of the original equation are equal, \( 16.34 = 16.34 \), our solution is confirmed.

The answer is \( g = 4.25 \).