Question

Solve the equation. Check your answer.
1.78gminus6equals0.23

Answer 1

To solve the equation \( 1.78g - 6 = 0.23 \), we can follow these steps:

1. Add 6 to both sides of the equation to isolate the term with \( g \):

\[
1.78g - 6 + 6 = 0.23 + 6
\]
\[
1.78g = 6.23
\]

2. Now, divide both sides by 1.78 to solve for \( g \):

\[
g = \frac{6.23}{1.78}
\]

Calculating the right side:

\[
g \approx 3.50
\]

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

\[
1.78(3.50) - 6
\]
Calculating \( 1.78 \times 3.50 \):

\[
1.78 \times 3.50 = 6.23
\]

Now, substitute that back into the equation:

\[
6.23 - 6 = 0.23
\]

Since the left side equals the right side, the solution is verified.

Thus, the solution to the equation is:

\[
g \approx 3.50
\]