# How can I solve this equation? 2pq-3+7=pq

May 18, 2018

$p q = - 4$

#### Explanation:

$2 p q - 3 + 7 = p q \text{ } \left(- p q\right)$
$p q + 4 = 0 \text{ } \left(- 4\right)$
$p q = - 4$

May 18, 2018

$p q = - 4$

#### Explanation:

There are two variables, but only one equation.
You cannot solve for each variable separately, but you can end up with a value for the $p q$ term.

Move the variables to one side and the numbers to the other.

$2 p q \textcolor{b l u e}{- 3 + 7} = p q$

$2 p q \text{ } \textcolor{b l u e}{+ 4} = p q$

Subtract $\textcolor{\lim e}{4} \mathmr{and} \textcolor{red}{p q}$ from both sides:

$2 p q \textcolor{red}{- p q} \cancel{+ 4 \textcolor{\lim e}{- 4}} = \cancel{p q \textcolor{red}{- p q}} \textcolor{\lim e}{- 4}$

Simplify on both sides to get:

$p q = - 4$

This is as far as we can go. $p \mathmr{and} q$ are two values which multiply to give $- 4$.