Question
2-Variable Equations & Inequalities Online Practice
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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)
Answers
GPT-4o mini
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 \( (-5, -2) \).
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 \( (-5, -2) \).