Any solution of the linear equation
Question:

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

(a) $\left(-\frac{9}{2}, m\right)$.

(b) $\left(n,-\frac{9}{2}\right)$

(c) $\left(0,-\frac{9}{2}\right)$

(d) $(-9,0)$

Solution:

(a) The given linear equation is

2x + 0y + 9 = 0

=> 2x + 9 = 0

=> 2x = -9

=>x= -9/2 and y can be any real number.
Hence, (-9/2 , m) is the required form of solution of the given linear equation.