2-Variable Equations & Inequalities Online Practice

Question

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Question
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 2 right parenthesis

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

(5,−2)

Answer 1

To determine which ordered pair is a solution to the equation \(2.5y - 3x = 10\), we'll need to substitute each pair into the equation and check if it holds true.

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

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

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

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

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