Question

Solve the equation. Check your solution.

$\frac{y}{11.5}=0.4$

Short answer

Solution of given equation is$y=4.6$.

Step-by-step solution

Step 1.  Solve for value of y

$\frac{y}{11.5}=0.4$

Multiplying with $11.5$on both sides, we get

$\begin{array}{c}\frac{y}{11.5}\left(11.5\right)=0.4\left(11.5\right)\\ y=0.4\left(11.5\right)\\ y=4.6\end{array}$

Step 2. Verification of our solution

For checking our answer, substitute $y=4.6$ in given equation $\frac{y}{11.5}=0.4$.

On substituting, we get

$\begin{array}{c}\frac{y}{11.5}=0.4\\ \frac{4.6}{11.5}=0.4\\ 0.4=0.4\end{array}$

Step 3.  Conclusion

Here, both sides of above expression are equal.

So, our answer is true.