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Select the option below that correctly shows which of the following ordered pairs is part of the solution set for the equation y = 4x + 2

A. (3, 12)
B. (3, 14)
C. (3, 45)
D. (3, 7)

1 answer

To determine which ordered pair is part of the solution set for the equation \( y = 4x + 2 \), we can substitute \( x = 3 \) into the equation and calculate the corresponding value of \( y \).

  1. Substitute \( x = 3 \) into the equation: \[ y = 4(3) + 2 \]

  2. Calculate: \[ y = 12 + 2 = 14 \]

The calculated value of \( y \) when \( x = 3 \) is \( 14 \). Therefore, the ordered pair \( (3, 14) \) is part of the solution set.

So the correct option is: B. (3, 14).