Question

Solve the equation. Check your solution.

$8w=75.2$

Short answer

Solution of given equation is$w=9.4$.

Step-by-step solution

Step-1- Solve for value of w

$8w=75.2$

Dividing with $8$on both sides, we get

$\begin{array}{c}\frac{8w}{8}=\frac{75.2}{8}\\ w=\frac{75.2}{8}\\ w=9.4\end{array}$

$w=9.4$

Step-2-Verification of our solution

For checking our answer, substitute $w=9.4$ in given equation $8w=75.2$.

On substituting, we get

$\begin{array}{c}8w=75.2\\ 8\left(9.4\right)=75.2\\ 75.2=75.2\end{array}$

Step-3- Conclusion

Here, both sides of above expression are equal.

So, our answer is true.