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Which ordered pair is a solution of the equation? 4x-1=3y+5 Choose 1 answer: (A) Only (3,2) (B) Only (2,3) (C) Both (3,2) and (2,3) (D) Neither

Which ordered pair is a solution of the equation?\newline4x−1=3y+54x-1=3y+5\newlineChoose 11 answer:\newline(A) Only (3,2)(3,2)\newline(B) Only (2,3)(2,3)\newline(C) Both (3,2)(3,2) and (2,3)(2,3)\newline(D) Neither

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Q. Which ordered pair is a solution of the equation?\newline4x−1=3y+54x-1=3y+5\newlineChoose 11 answer:\newline(A) Only (3,2)(3,2)\newline(B) Only (2,3)(2,3)\newline(C) Both (3,2)(3,2) and (2,3)(2,3)\newline(D) Neither
  1. Substitute and Verify (3,2)(3,2): First, let's substitute the ordered pair (3,2)(3,2) into the equation 4x−1=3y+54x-1=3y+5 and check if it holds true. If we substitute x=3x=3 and y=2y=2, we get 4⋅3−1=3⋅2+54\cdot 3-1=3\cdot 2+5.
  2. Verify (3,2)(3,2): After performing the calculation, we find that 12−1=6+512-1=6+5, which simplifies to 11=1111=11. This is true, so the ordered pair (3,2)(3,2) satisfies the equation.
  3. Substitute and Verify 2,32,3: Next, let's substitute the ordered pair 2,32,3 into the equation 4x−1=3y+54x-1=3y+5 and check if it holds true. If we substitute x=2x=2 and y=3y=3, we get 4⋅2−1=3⋅3+54\cdot 2-1=3\cdot 3+5.
  4. Verify (2,3)(2,3): After performing the calculation, we find that 8−1=9+58-1=9+5, which simplifies to 7=147=14. This is not true, so the ordered pair (2,3)(2,3) does not satisfy the equation.
  5. Solution Determination: Since the ordered pair (3,2)(3,2) satisfies the equation but the ordered pair (2,3)(2,3) does not, the correct answer is that only (3,2)(3,2) is a solution to the equation.

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