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Which of the following ordered pairs is a solution to 2.5y−3x=10 ?(1 point)

Responses

(−5,−2)
left parenthesis negative 5 comma negative 2 right parenthesis

(−5,2)
left parenthesis negative 5 comma 2 right parenthesis

(5,−2)
left parenthesis 5 comma negative 2 right parenthesis

(5,2)

1 answer

To determine which ordered pair is a solution to the equation \( 2.5y - 3x = 10 \), we can test each pair by substituting the values into the equation.

  1. For the pair \((-5, -2)\): \[ 2.5(-2) - 3(-5) = -5 + 15 = 10 \quad (True) \]

  2. For the pair \((-5, 2)\): \[ 2.5(2) - 3(-5) = 5 + 15 = 20 \quad (False) \]

  3. For the pair \((5, -2)\): \[ 2.5(-2) - 3(5) = -5 - 15 = -20 \quad (False) \]

  4. For the pair \((5, 2)\): \[ 2.5(2) - 3(5) = 5 - 15 = -10 \quad (False) \]

The only ordered pair that satisfies the equation is \((-5, -2)\). Thus, the correct answer is: \[ \boxed{(-5, -2)} \]