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Which of the following ordered pairs is a solution to

2.5𝑦 − 3𝑥 = 10?
(5, -2)
(-5, 2)
(5, 2)
(-5, -2

1 answer

To determine which of the ordered pairs is a solution to the equation \(2.5y - 3x = 10\), we can substitute each pair into the equation.

  1. For the pair \((5, -2)\): \[ 2.5(-2) - 3(5) = -5 - 15 = -20 \quad \text{(not equal to 10)} \]

  2. For the pair \((-5, 2)\): \[ 2.5(2) - 3(-5) = 5 + 15 = 20 \quad \text{(not equal to 10)} \]

  3. For the pair \((5, 2)\): \[ 2.5(2) - 3(5) = 5 - 15 = -10 \quad \text{(not equal to 10)} \]

  4. For the pair \((-5, -2)\): \[ 2.5(-2) - 3(-5) = -5 + 15 = 10 \quad \text{(equal to 10)} \]

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