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.

Question

A) (3, 34)
B) (3, 14)
C) (3, 12)
D) (3, 7)

Answer 1

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 solve for $y$:

$$y=4(3)+2$$ $$y=12+2$$ $$y=14$$

Now we can check the options:

• A) $(3,34)$ → $y=34$ (not a solution)
• B) $(3,14)$ → $y=14$ (this is a solution)
• C) $(3,12)$ → $y=12$ (not a solution)
• D) $(3,7)$ → $y=7$ (not a solution)

The correct option is B) (3, 14).