Question

If p+pq is 4 times p-pq, and pq does not equal to 0, which of the following has exactly one possible value? A)p B)q C)pq D)p+pq

Answer 1

D because it is a combination because p and a don't equal zero

Answer 2

q has exactly one possible value which is $\frac{3}{5}$

The correct answer is an option (B)

What is an algebraic expression?

"It is a mathematical statement which consists of numbers, variables and mathematical operations."

What is an equation?

"It is a mathematical statement which consists of equal symbol between two algebraic expressions."

For given question,

p + pq is 4 times p - pq

and pq does not equal to 0

This means, p ≠ 0 and q ≠ 0

so, we get and equation,

$\Rightarrow p+pq =4 \times (p-pq)$

We solve above equation.

$\Rightarrow p+pq =4 \times (p-pq)\\\\\Rightarrow p+pq =4p-4pq\\\\\Rightarrow p+pq+4pq =4p-4pq+4pq\\\\\Rightarrow p+5pq-p =4p-p\\\\\Rightarrow 5pq =3p\\\\\Rightarrow q=\frac{3}{5}$

Therefore, q has exactly one possible value which is $\frac{3}{5}$

The correct answer is an option (B)

Learn more about the equation here:

https://brainly.com/question/649785

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