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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 5 comma 2 right parenthesis

(−5,−2)
left parenthesis negative 5 comma negative 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 substitute each pair into the equation and see if it holds true.

  1. For \((5, 2)\): \[ 2.5(2) - 3(5) = 5 - 15 = -10 \quad (\text{not a solution}) \]

  2. For \((-5, -2)\): \[ 2.5(-2) - 3(-5) = -5 + 15 = 10 \quad (\text{is a solution}) \]

  3. For \((5, -2)\): \[ 2.5(-2) - 3(5) = -5 - 15 = -20 \quad (\text{not a solution}) \]

  4. For \((-5, 2)\): \[ 2.5(2) - 3(-5) = 5 + 15 = 20 \quad (\text{not a solution}) \]

Thus, the ordered pair that is a solution to \(2.5y - 3x = 10\) is \((-5, -2)\).