Question

Solve the equation: \[1.6 = \dfrac{y}{{1.5}}\]

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 \[1.6 = \dfrac{y}{{1.5}}\]
The objective is to solve the given equation for \[y\].
Next, we will interchange both sides of the equation.
Thus, we get,
\[ \Rightarrow \dfrac{y}{{1.5}} = 1.6\]
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,
\[ \Rightarrow \dfrac{y}{{1.5}} \times 1.5 = 1.6 \times 1.5\]
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,
\[
   \Rightarrow \dfrac{{2.4}}{{1.5}}\mathop = \limits^? 1.6 \\
   \Rightarrow 1.6 = 1.6 \\
 \]
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.