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Which ordered pair is a solution of the equation?

x+7y=17
Choose 1 answer:
(A) Only 
(10,1)
(B) Only 
(-4,3)
(C) Both 
(10,1) and 
(-4,3)
(D) Neither

Which ordered pair is a solution of the equation?\newlinex+7y=17x+7y=17\newlineChoose 11 answer:\newline(A) Only (10,1)(10,1)\newline(B) Only (4,3)(-4,3)\newline(C) Both (10,1)(10,1) and (4,3)(-4,3)\newline(D) Neither

Full solution

Q. Which ordered pair is a solution of the equation?\newlinex+7y=17x+7y=17\newlineChoose 11 answer:\newline(A) Only (10,1)(10,1)\newline(B) Only (4,3)(-4,3)\newline(C) Both (10,1)(10,1) and (4,3)(-4,3)\newline(D) Neither
  1. Step 11: Test ordered pair (10,1)(10, 1): Test the ordered pair (10,1)(10, 1) to see if it satisfies the equation x+7y=17x+7y=17.\newlineSubstitute xx with 1010 and yy with 11 into the equation:\newline10+7(1)=10+7=1710 + 7(1) = 10 + 7 = 17\newlineCheck if the left side equals the right side:\newline17=1717 = 17
  2. Step 22: Substitute values into the equation: Since the left side equals the right side for the ordered pair (10,1)(10, 1), this ordered pair is a solution to the equation.
  3. Step 33: Check if left side equals right side: Test the ordered pair (4,3)(-4, 3) to see if it satisfies the equation x+7y=17x+7y=17.\newlineSubstitute xx with 4-4 and yy with 33 into the equation:\newline4+7(3)=4+21=17-4 + 7(3) = -4 + 21 = 17\newlineCheck if the left side equals the right side:\newline17=1717 = 17
  4. Step 44: Conclusion for (10,1)(10, 1): Since the left side equals the right side for the ordered pair (4,3)(-4, 3), this ordered pair is also a solution to the equation.
  5. Step 55: Test ordered pair (4,3)(-4, 3): Both ordered pairs (10,1)(10, 1) and (4,3)(-4, 3) satisfy the equation x+7y=17x+7y=17, so the correct answer is that both are solutions.

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