Answer
The given statement is false.
A corrected statement is:
"The ordered pair $(5, 2)$ satisfies $3y-2x=-4$."
Work Step by Step
The ordered pair $(2, 5)$ has x = 2 and y = 5. Substitute these values into the given equation to obtain:
$3y-2x=-4
\\3(5) - 2(2) = -4
\\15-4 = -4
\\11=-4$
This is a false statement.
Thus, the given statement is false.
Note, however that for the point (5, 2) where x = 5 and y = 2:
$3y-2x=-4
\\3(2) -2(5)=-4
\\6-10=-4
\\-4=-4$
The ordered pair $(5, 2)$ satisfies the equation.
Therefore, a corrected statement is:
The ordered pair $(5, 2)$ satisfies $3y-2x=-4$.
