Question

How do you solve \[\dfrac{x}{6}=8\]?

Answer 1

Hint: In this problem, we have to solve and find the value of the x form the given expression. We can see that the given expression has the variable in fraction, we have to simplify it to get the value of x. We can first multiply 6 on both the right-hand side and the left-hand side of the equation. we can then multiply the term in the right-hand side and we can cancel the similar terms in the left-hand side to get the value of x.

Complete step by step answer:
We know that the given equation to be solved is,
 \[\Rightarrow \dfrac{x}{6}=8\]
We can see that the given expression has the variable in fraction, we have to simplify it to get the value of x.
We can now multiply 6 on both the right-hand side and the left-hand side of the equation, we get
\[\Rightarrow \dfrac{x}{6}\times 6=8\times 6\]
we can then multiply the term in the right-hand side and we can cancel the similar terms in the left-hand side, we get
\[\Rightarrow x=48\]

Therefore, the value of x = 48.

Note: Students make mistakes while multiplying the similar terms in both sides of the equation to get the value of x. We can also substitute the resulting value in the given equation to check for the correct answer. We can now substitute x = 48 in \[\dfrac{x}{6}=8\], we get
\[\begin{align}
  & \Rightarrow \dfrac{48}{6}=8 \\
 & \Rightarrow 8=8 \\
\end{align}\]
Therefore, the value of x = 48 is correct.