Problem

Which ordered pair is a solution of th \[ y=7 x-2 \] Choose 1 answer: (A) Only $(3,15)$ (B) Only $(-1,-10)$ (C) Both $(3,15)$ and $(-1,-10)$ (D) Neither

Solution

Step 1 :Substitute x = 3 and y = 15 into the equation: \(15 = 7*3 - 2\)

Step 2 :Simplify the right side of the equation: \(15 = 21 - 2\)

Step 3 :Further simplify the right side of the equation: \(15 = 19\)

Step 4 :The equation does not hold true for the pair (3,15)

Step 5 :Substitute x = -1 and y = -10 into the equation: \(-10 = 7*(-1) - 2\)

Step 6 :Simplify the right side of the equation: \(-10 = -7 - 2\)

Step 7 :Further simplify the right side of the equation: \(-10 = -9\)

Step 8 :The equation does not hold true for the pair (-1,-10)

Step 9 :\(\boxed{\text{Therefore, the correct answer is (D) Neither}}\)

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Source: https://solvelyapp.com/problems/rcmPQXUCPY/

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