Question

Find the value of $k$, if $(2k,k)$ lies on the line represented by an equation $y=10-2x$.

• A. $-2$
• B. $-1$
• C. $1$
• D. $2$

Answer 1

The correct option is D $2$

Given: $(2k,k)$ lies on the line represented by the equation $y=10-2x$

We know that if a point lies on a line represented by an equation, then it must satisfy the equation.

On substituting $x=2k$ and $y=k$, we get,
$⟹k=10-2\left(2k\right)$
$⟹k=10-4k$
$⟹k+4k=10$
$⟹5k=10$
$⟹k=2$

$\therefore$ The value of $k$ is $2$.