Question

Decide whether each ordered pair is a solution of the equation y = 3x – 1.

A. (2, 6) is a solution; (4, 12) is not a solution.
B. (2, 5) is a solution; (4, 11) is not a solution.
C. (2, 7) is a solution; (4, 13) is not a solution.
D. (2, 8) is a solution; (4, 15) is not a solution.

Answer 1

After substituting the x-values from the ordered pairs (2, 6) and (4, 12) into the equation y = 3x – 1, neither pair produced the respective y-values, which means neither (2, 6) nor (4, 12) are solutions to the equation.

Step-by-step explanation:

To determine if an ordered pair is a solution to an equation, we substitute the x-value and y-value into the equation and check if the equation holds true. Let's evaluate the given options for the equation y = 3x – 1.

• For the pair (2, 6), if we substitute x = 2 into the equation, we get y = 3(2) – 1 = 6 – 1 = 5, which does not equal the y-value of the pair, so (2, 6) is not a solution.
• For the pair (4, 12), substituting x = 4 into the equation, we get y = 3(4) – 1 = 12 – 1 = 11, which also does not equal the y-value of the pair, so (4, 12) is not a solution.

Therefore, both (2, 6) and (4, 12) are not solutions to the equation y = 3x - 1, which eliminates options A, B, C, and D, as they all contain at least one incorrect assertion.