Question

The graph of the linear equation$\mathrm{x}+2\mathrm{y}=7$passes through the point $(0,7)$. Write whether the following statement is True or False? Justify your answer.

Answer 1

Given:

Linear equation$\mathrm{x}+2\mathrm{y}=7$passes through the point $(0,7)$.

On substituting the values of$\mathrm{x}=0$ and $\mathrm{y}=7$ in the equation,

$\begin{array}{rcl}\mathrm{x}+2\mathrm{y}& =& 7\\ 0+2\left(7\right)& =& 7\\ 14& \ne & 7\\ \because \mathrm{LHS}& \ne & \mathrm{RHS}\end{array}$

Hence, the graph of the linear equation $\mathrm{x}+2\mathrm{y}=7$ not passes through the point $(0,7)$ the given statement is false.