Question

How do you solve $19-x=37$?

Answer 1

Hint: To solve the given equation first we will subtract 19 from both sides of the equation. Then by simplifying the obtained equation we will get the desired answer.

Complete step by step solution:
We have been given an equation $19-x=37$.
We have to solve the given equation and find the value of the unknown variable x.
The highest power of the variable in the given equation is one. It means the given equation is of order one and a linear equation in one variable. The order of equations defines the type of equation.
To solve the given equation let us first subtract 19 from both sides of the equation. Then we will get
\[\Rightarrow 19-x-19=37-19\]
Now, simplifying the above obtained equation we will get
\[\Rightarrow -x=18\]
Now, multiplying the above obtained equation by $-1$ we will get
\[\Rightarrow x=-18\]
Hence on solving the given equation we get the value of $x$ as \[-18\].

Note:
We can also verify the obtained answer by substituting the value in the original equation. Here in this question we get the value of x as \[-18\]. Now, substituting the value of x in the given equation we will get
$\Rightarrow 19-\left( -18 \right)=37$
Now, simplifying the above obtained equation we will get
$\begin{align}
  & \Rightarrow 19+18=37 \\
 & \Rightarrow 37=37 \\
\end{align}$
Here we get LHS=RHS.
Hence the obtained value of x is the correct solution of the given equation.