Questions: Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places. 7/3 x = 8

Solution Steps

We start with the linear equation given by:

\[ \frac{7}{3} x = 8 \]

To isolate \( x \), we divide both sides of the equation by \( \frac{7}{3} \):

\[ x = \frac{8}{\frac{7}{3}} \]

Dividing by a fraction is equivalent to multiplying by its reciprocal:

\[ x = 8 \cdot \frac{3}{7} = \frac{24}{7} \]

Final Answer