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Which ordered pair is a solution of the equation? -3x+4y=14 Choose 1 answer: (A) Only (2,5) (B) Only (4,6) (C) Both (2,5) and (4,6) (D) Neither

Which ordered pair is a solution of the equation?\newline−3x+4y=14-3x+4y=14\newlineChoose 11 answer:\newline(A) Only (2,5)(2,5)\newline(B) Only (4,6)(4,6)\newline(C) Both (2,5)(2,5) and (4,6)(4,6)\newline(D) Neither

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Full solution

Q. Which ordered pair is a solution of the equation?\newline−3x+4y=14-3x+4y=14\newlineChoose 11 answer:\newline(A) Only (2,5)(2,5)\newline(B) Only (4,6)(4,6)\newline(C) Both (2,5)(2,5) and (4,6)(4,6)\newline(D) Neither
  1. Check Solution 2,52,5: Substitute the xx and yy values from the ordered pair 2,52,5 into the equation −3x+4y=14 -3x+4y=14 to check if it satisfies the equation.\newlineCalculation: −3(2)+4(5)=−6+20=14 -3(2) + 4(5) = -6 + 20 = 14
  2. Solution Verification 2,52,5: Since the calculation in Step 11 results in 1414, which is the same as the right side of the equation, the ordered pair 2,52,5 is a solution to the equation.
  3. Check Solution (4,6)(4,6): Substitute the xx and yy values from the ordered pair (4,6)(4,6) into the equation −3x+4y=14-3x+4y=14 to check if it satisfies the equation.\newlineCalculation: −3(4)+4(6)=−12+24=12-3(4) + 4(6) = -12 + 24 = 12
  4. Solution Verification 4,64,6: Since the calculation in Step 33 results in 1212, which is not the same as the right side of the equation, the ordered pair 4,64,6 is not a solution to the equation.

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