Question

Write any one solution of the equation $x+2y=7$.

Answer 1

Hint: Here, for finding the solution of this given equation we may choose any one variable and give it a certain value and then we may put that value in the equation to find the value of the second variable $x+2y=7$.

Complete step-by-step answer:
Since, the given equation is:
$x+2y=7.........\left( 1 \right)$
The solution of this linear equation will be of the form $\left( x,y \right)$ where by putting the values of x and y on the left hand side, we may get a value equal to 7.
Since, it is already mentioned in the question that we have to find any one solution of the equation. So, it means that we can find any value of x or y which will satisfy the given equation.
Let us choose the variable x to assign any value. So, let us take x=0.
Now on substituting x = 0 in equation (1) we get:
$\begin{align}
  & 0+2y=7 \\
 & y=\dfrac{7}{2} \\
\end{align}$
So, on assigning a value of x = 0, we get the value of y to be $y=\dfrac{7}{2}$.
So, we get a particular solution for the given linear equation $\left( 0,\dfrac{7}{2} \right)$.
Hence, we can say that one of the solutions of the given linear equation is $\left( 0,\dfrac{7}{2} \right)$.

Note: Students should note here that we can also choose a particular value of y and then we can find x.
So, in that case also we can obtain a solution of the given equation and hence, the order pair (x, y) will become the solution for the equation.