Question

The graph of the equation $2x-3=3x-5$ is parallel to:

• A. $x$-axis
• B. $y$-axis
• C. Both the axes
• D. None of the axes

Answer 1

The correct option is B

$y$-axis

Explanation for the correct option:

Simplifying the equation

The given equation is $2x-3=3x-5$and this can be re-written as,

$$\begin{gathered} \Rightarrow 3x-5-2x+3=0 \\ \Rightarrow x-2=0 \\ \Rightarrow x+0.y-2=0 \end{gathered}$$

From the above, it is clear that the coefficient of $y=0$.

So for any value of $y$, the value of $x$ will always be $2$. Hence, the line formed by the coordinates satisfying this equation will be parallel to $y$-axis.

Hence, the correct option is B.