Question

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
(3,45)
(3,12)
(3,7)
(3,14)

Answer 1

To determine which of the ordered pairs is part of the solution set for the equation \( y = 4x + 2 \), we need to substitute the value of \( x \) from each ordered pair into the equation and see if the corresponding \( y \) value matches.

1. For the pair (3, 45):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
(Not a solution, since 45 ≠ 14)

2. For the pair (3, 12):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
(Not a solution, since 12 ≠ 14)

3. For the pair (3, 7):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
(Not a solution, since 7 ≠ 14)

4. For the pair (3, 14):
\[
y = 4(3) + 2 = 12 + 2 = 14
\]
(This is a solution, since 14 = 14)

The ordered pair that is part of the solution set for the equation \( y = 4x + 2 \) is (3, 14).