Question

Any solution of the linear equation $2x+0y+9=0$ in two variables is of the form:

• A. $(-\frac{9}{2},m)$
• B. $(n,-\frac{9}{2})$
• C. $(0,-\frac{9}{2})$
• D. $(-9,0)$

Answer 1

The correct option is A $(-\frac{9}{2},m)$

The given equation is $2x+0y+9=0$
Since the coefficient of $y$ is $0$.

Hence, the $y$ term vanishes.
Now we are left with $2x+9=0\Rightarrow x=-\frac{9}{2}$
$y$ may assume any value, say $m$
$\therefore (x,y)=(-\frac{9}{2},m)$