Question

Which value of $p$ gives the solution $x=-14$ and $y=5$ for the linear equation $4y-x=2p$?

• A. $3$
• B. $17$
• C. $4$
• D. $18$

Answer 1

The correct option is B $17$

Given: $(-14,5)$ is the solution of the linear equation $4y-x=2p$

We know that the solution must satisfy the given equation.

On substituting $x=-14$ and $y=5$ in the given equation, we get,
$4y-x=2p$
$⟹4\left(5\right)-(-14)=2p$
$⟹20+14=2p$
$⟹34=2p$
$⟹p=17$

$\therefore$The value of $p$ is $17$.