Question

Solution of linear equation 2x + 0.y + 9 = 0 is (9/2, m) (n, −9/2) (0, −9/2) (−9/2, 0)​

Answer 1

Given:

A linear equation: $2x+0y+9=0$

To find:

Solution of the linear equation.

Solution:

In the given equation, $2x+0y+9=0$, the coefficient of $y$ is 0. Any number or variable multiplied with 0 is 0. Thus, the value of $y$ is 0.

Hence,

$2x+0y+9=0$

$2x+9=0$

On transposing 9 from LHS to RHS, the positive sign becomes negative

$2x=-9$

On transposing 2 from LHS to RHS, it gets divided by $-9$

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

∴ $x=\frac{-9}{2},y=0$

For recheck, substitute these values into the $x$ and $y$ of the linear equation and see if it equates to zero.

$2x+0y+9=2(\frac{-9}{2})+0(0)+9=-9+0+9=-9+9=0$

LHS = RHS

Hence, the values we got are correct. Thus, the solution of the linear equation is $(\frac{-9}{2},0)$ which is the fourth option.

The solution of the linear equation is $(\frac{-9}{2},0)$. The fourth option is the correct answer.