Question

$5p+1=-xp-4$
In the equation shown above, $x$ is a constant. Which of the following values of $x$ results in an equation with exactly one solution?

• A. 5
• B. $-5$
• C. Both A and B
• D. None of these

Answer 1

The correct option is A 5

First, we observe that this is a linear equation. Let’s consider the equation:
$5p+1=-xp-4$
The equation will have exactly one solution if $x$ is any number other than $-5$.
If $x=-5$, then there are no solution as x gets cancelled from both sides.
The only correct answer choice is $x=5$.

In this case, the equation (5p + 1) = -5p - 4 has exactly one solution. $p=-\frac{1}{2}$
Therefore if $x=5$, the equation will have exactly one solution.