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Which ordered pair is a solution of the equation?

y=3x+5
Choose 1 answer:
(A) Only 
(2,11)
(B) Only 
(3,13)
(C) Both 
(2,11) and 
(3,13)
(D) Neither

Which ordered pair is a solution of the equation?\newliney=3x+5y=3x+5\newlineChoose 11 answer:\newline(A) Only (2,11)(2,11)\newline(B) Only (3,13)(3,13)\newline(C) Both (2,11)(2,11) and (3,13)(3,13)\newline(D) Neither

Full solution

Q. Which ordered pair is a solution of the equation?\newliney=3x+5y=3x+5\newlineChoose 11 answer:\newline(A) Only (2,11)(2,11)\newline(B) Only (3,13)(3,13)\newline(C) Both (2,11)(2,11) and (3,13)(3,13)\newline(D) Neither
  1. Substitute x-value into equation: First, we will substitute the x-value of the ordered pair (2,11)(2,11) into the equation y=3x+5y=3x+5 and check if the corresponding y-value is 1111. If we substitute x=2x=2, we get y=3×2+5y=3\times 2+5.
  2. Check if y-value matches: After performing the calculation, we find that y=6+5=11y=6+5=11, which matches the y-value of the ordered pair (2,11)(2,11). Therefore, the ordered pair (2,11)(2,11) satisfies the equation.
  3. Substitute x-value into equation: Next, we will substitute the x-value of the ordered pair (3,13)(3,13) into the equation y=3x+5y=3x+5 and check if the corresponding y-value is 1313. If we substitute x=3x=3, we get y=3×3+5y=3\times 3+5.
  4. Check if y-value matches: After performing the calculation, we find that y=9+5=14y=9+5=14, which does not match the y-value of the ordered pair (3,13)(3,13). Therefore, the ordered pair (3,13)(3,13) does not satisfy the equation.
  5. Identify the solution: Since the ordered pair (2,11)(2,11) satisfies the equation and the ordered pair (3,13)(3,13) does not, the correct answer is that only the ordered pair (2,11)(2,11) is a solution to the equation.

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