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

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

1 answer

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

Substituting \( x = 3 \):

\[ y = 4(3) + 2 \] \[ y = 12 + 2 \] \[ y = 14 \]

Now, we can compare this result with the provided options:

  • A. (3,14) — This matches our calculation.
  • B. (3,45) — This does not match.
  • C. (3,7) — This does not match.
  • D. (3,12) — This does not match.

Therefore, the correct option is:

A. (3,14)