Question

Solve the equation: $$1.6={\displaystyle \frac{y}{1.5}}$$

Answer 1

Hint: We will first consider the given equation and as we have to solve the equation for $$y$$, we will first reshuffle the equation that is interchange the left and right side of the equation and then we will multiply $$1.5$$ on both the sides of the equation and then simplify both left-hand and right-hand side of the equation which will give us the required answer.

Complete step-by-step answer:
We will first consider the given equation that is $$1.6={\displaystyle \frac{y}{1.5}}$$
The objective is to solve the given equation for $$y$$.
Next, we will interchange both sides of the equation.
Thus, we get,
$$\Rightarrow {\displaystyle \frac{y}{1.5}}=1.6$$
Now, to simplify the equation we will multiply $$1.5$$ on both the sides of the equation that is the left-hand side and right-hand side of the equation.
Thus, we get,
$$\Rightarrow {\displaystyle \frac{y}{1.5}}\times 1.5=1.6\times 1.5$$
Now, we will further simplify the above equation to evaluate the value of $$y$$.
$$\Rightarrow y=2.4$$
We can also verify the value of $$y$$ by substituting the obtained value in the given expression,
Thus, we get,
$$\begin{gathered} \Rightarrow {\displaystyle \frac{2.4}{1.5}}\stackrel{?}{=}1.6 \\ \Rightarrow 1.6=1.6 \end{gathered}$$
Thus, we can conclude that the value of $$y$$ on solving the equation is $$2.4$$.

Note: We can also take $$1.5$$ from the right-hand side to the left-hand side of the equation which will directly give us the result and works as an alternative method. While multiplying $$1.5$$ remember to cancel $$1.5$$ on the right-hand side and do the product on the left-hand side and do not make any calculation mistakes.