The correct answer is: [C]: " (5, 1) ".
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Explanation:
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Choice: [C]: " x = 5 " ; " y = 1 " ;
Note: Given the equation: " 2x - y = 9 " .
→ Plug in " 5 " for "x" , and " 1 for " y " ;
to get: " [2 * 5] - [1] = 10 - 1 = " 9 " ; and: " 9 = 9 " .
So, Choice: [C]: " (5, 1) " — is the CORRECT ANSWER.
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Let us consider the "other answer choices" ; as follows:
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Choice: [A]: "x = - 4 " , "y = 1" ; Plug in these values for the given equation:
→ " 2x - y = 9 " ;
→ " (2 * -4) - (5) = - 8 - 5 = " - 13 " ; and: " - 13 ≠ 9 " .
→ So: Answer choice: [A]: is INCORRECT.
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Choice [B]: "x = -2" , "y = 5" ; Plug in these values for the given equation:
"2x - y = 9 " ;
→ " (2 * -2) - (5) = -4 - 5 = -9 ; and: " -9 ≠ 9 " .
→ So: Answer choice: [B]: is INCORRECT.
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Choice: [D]: "x = 6 " , "y = - 3" ; Plug in these values for the given equation:
"2x - y = 9 " ;
→ " (2 * 6) - ( -3) = 12 - (-3) = 12 + 3 = " 15 " ; and: " 15 ≠ 9 " .
→ So: Answer choice: [D]: is INCORRECT.
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→ The correct answer is: [C]: " (5, 1) " .
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