2. Find a missing value that will make each ordered pair be a solurtion to the enveh \( 2 x+y=12 \) a. \( (\mathrm{O}, \square) \) b. \( (\square, 0) \) c. \( (-1, \square) \) d. \( (5, \square) \) e. \( (\square, 6) \)
Upstudy AI Solution
Answer
Solution
Answered by UpStudy AI and reviewed by a Professional Tutor


Extra Insights
To find the missing values that will make each ordered pair a solution to the equation \(2x + y = 12\), we will plug in the known values and solve for the missing ones. a. \( (0, \square) \): Plugging in \(x = 0\), we have \(2(0) + y = 12 \Rightarrow y = 12\). So, the ordered pair is \( (0, 12) \). b. \( (\square, 0) \): Plugging in \(y = 0\), we have \(2x + 0 = 12 \Rightarrow 2x = 12 \Rightarrow x = 6\). So, the ordered pair is \( (6, 0) \). c. \( (-1, \square) \): Plugging in \(x = -1\), we have \(2(-1) + y = 12 \Rightarrow -2 + y = 12 \Rightarrow y = 14\). So, the ordered pair is \( (-1, 14) \). d. \( (5, \square) \): Plugging in \(x = 5\), we have \(2(5) + y = 12 \Rightarrow 10 + y = 12 \Rightarrow y = 2\). So, the ordered pair is \( (5, 2) \). e. \( (\square, 6) \): Plugging in \(y = 6\), we have \(2x + 6 = 12 \Rightarrow 2x = 6 \Rightarrow x = 3\). So, the ordered pair is \( (3, 6) \). Final answers: a. \( (0, 12) \) b. \( (6, 0) \) c. \( (-1, 14) \) d. \( (5, 2) \) e. \( (3, 6) \)