Question

The line represented by the equation $3x-3y=6$ passes through the origin.

• A. True
• B. False

Answer 1

The correct option is B

False

The line representing a linear equation in two variables passes through the origin if (0,0) is a solution of the equation.

On substituting $x=0,y=0$ in the equation, we get

$LHS\to 3x-3y$

$LHS\to 3\left(0\right)-3\left(0\right)=0\ne 6,$

$\Rightarrow LHS\ne RHS$

So, (0, 0) is not a solution of the given equation.

$\therefore$The line represented by the equation $3x-3y=6$ does not pass through origin.