Question

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

• A. $(\frac{9}{2},0)$
• B. $(\frac{9}{2},n)$, n is a real number
• C. $(n,\frac{9}{2})$, n is a real number
• D. $(n,\frac{9}{2})$

Answer 1

The correct option is B $(\frac{9}{2},n)$, n is a real number

Given equation is $2x+0y=9$

thus y can take any real value as its coefficient is zero it will have no effect on the equation.

whereas this equation transform to $2x=9$

$x=\frac{9}{2}$

the solution is in the form of ($\frac{9}{2},n$) where n is any real any number.