Question

Solve the equation: \[\dfrac{t}{5} = 10\]

Answer 1

Hint: We will first consider the given equation and as we have to solve the equation for \[t\], we will multiply 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 \[\dfrac{t}{5} = 10\]
The objective is to solve the given equation for \[t\].
Now, to simplify the equation we will multiply 5 on both the sides of the equation that is the left-hand side and right-hand side of the equation.
Thus, we get,
\[ \Rightarrow \dfrac{t}{5} \times 5 = 10 \times 5\]
Now, we will further simplify the above equation to evaluate the value of \[t\].
\[ \Rightarrow t = 50\]
We can also verify the value of \[t\] by substituting the obtained value in the given expression,
Thus, we get,
\[
   \Rightarrow \dfrac{{50}}{5}\mathop = \limits^? 10 \\
   \Rightarrow 10 = 10 \\
 \]
Thus, we can conclude that the value of \[t\] on solving the equation is 50.

Note: We can also take 5 from the left-hand side to the right-hand side of the equation which will directly give us the result and works as an alternative method. While multiplying 5 remember to cancel 5 on the left-hand side and do the product on the right-hand side and do not make any calculation mistakes.