State whether the following statement is true or false:
If $(5, -2)$ is a solution of $5x + 2y = k$,then $k = 0$.
If $(5, -2)$ is a solution of $5x + 2y = k$,then $k = 0$.
(B) To determine if the statement is true or false,we substitute the coordinates $(x, y) = (5, -2)$ into the given equation $5x + 2y = k$.
Substituting $x = 5$ and $y = -2$:
$5(5) + 2(-2) = k$
$25 - 4 = k$
$21 = k$
Since the calculated value of $k$ is $21$ and not $0$,the statement is False.
Substituting $x = 5$ and $y = -2$:
$5(5) + 2(-2) = k$
$25 - 4 = k$
$21 = k$
Since the calculated value of $k$ is $21$ and not $0$,the statement is False.
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