Question

How do you solve $x+2x=360$?

Answer 1

Hint: By solving the given linear equation we have to find the value of an unknown variable i.e. x. To solve the equation we simply solve the algebraic operations to get the desired answer.

Complete step by step answer:
We have been given an equation $x+2x=360$.
We have to solve the given equation and find the value of the unknown variable x.
As the given equation is a linear equation in one variable. The linear equation in one variable has one unknown variable and it has only one solution. By solving the equation we have to find the value of an unknown variable. To solve the given equation first we perform the addition given in the LHS. Then we will get
$\Rightarrow 3x=360$
Now, dividing the whole equation by 3 we will get
$\Rightarrow \dfrac{3x}{3}=\dfrac{360}{3}$
Now, simplifying the above obtained equation we will get
$\Rightarrow x=120$

Hence by solving the given equation we will get the value of x as $120$.

Note: As given is the linear equation in one variable. We can verify the answer by putting the obtained value of x in the given equation. For the given question we get the value of x as 120.
Let us put the obtained value in the given equation we will get
$\begin{align}
  & \Rightarrow x+2x=360 \\
 & \Rightarrow 120+2\times 120=360 \\
\end{align}$
Now, simplifying the LHS of the above obtained equation we will get
$\begin{align}
  & \Rightarrow 120+240=360 \\
 & \Rightarrow 360=360 \\
\end{align}$
We get LHS=RHS
Hence the value of x obtained is correct.