Determine whether $$ (5,-2) $$ is a solution of $$ 6 q-7 p=48 $$. Unless stated otherwise, to determine whether an ordered pair is a solution of an equation, use the first number in the ordered pair to replace the variable that occurs first alphabetically. Use the second number in the ordered pair to replace the other variable. The variable occurs first alphabetically amongst the variables in the given equation.

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To determine whether the ordered pair $$ (5,-2) $$ is a solution of the equation $$ 6q-7p=48 $$, we need to substitute the values of $$ p $$ and $$ q $$ from the ordered pair into the equation.

Given ordered pair: $$ (5,-2) $$
Substitute $$ p = 5 $$ and $$ q = -2 $$ into the equation:

$$ 6(-2) - 7(5) = 48 $$

Now, we can simplify the equation to determine if it is true.
Solve the equation $$ 6(-2) - 7(5) = 48 $$.
Check the equality by following steps:
- step0: Check the equality is true or false:
  $$6\left(-2ight)-7	imes 5=48$$
- step1: Simplify:
  $$-47=48$$
- step2: Check the equality:
  $$	extrm{false}$$
The equation $$ 6(-2) - 7(5) = 48 $$ is false, which means that the ordered pair $$ (5,-2) $$ is not a solution of the equation $$ 6q-7p=48 $$.
$$ (5,-2) $$ is not a solution of $$ 6q-7p=48 $$.

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