Question

Which ordered pair is a solution of the equation y = 2(x + 1)?

1) (1, 2)
2) (2, 3)
3) (3, 4)
4) (4, 5)

Answer 1

None of the provided ordered pairs ((1, 2), (2, 3), (3, 4), (4, 5)) match the equation y = 2(x + 1) when tested. The calculated y-values after plugging in the x-values do not correspond to the y-values in the pairs.

Step-by-step explanation:

To determine which ordered pair is a solution of the equation y = 2(x + 1), each ordered pair must be tested by plugging in the x-value of the pair into the equation and checking if the resulting y-value matches the y-value given in the pair.

1. For the pair (1, 2), plugging in x=1 yields y=2(1+1)=4, which does not match the y-value given.
2. For the pair (2, 3), plugging in x=2 yields y=2(2+1)=6, which does not match the y-value given.
3. For the pair (3, 4), plugging in x=3 yields y=2(3+1)=8, which does not match the y-value given.
4. Finally, for the pair (4, 5), plugging in x=4 yields y=2(4+1)=10, which does not match the y-value given.

None of these pairs is a solution to the equation since the calculated y-values do not match those in the ordered pairs provided.