Final answer:
The pair (1,4) is a solution to the equation y = 7 - 3x, while the pair (3,5) is not. Another solution is the pair (0,7). The correct answer given the options is B, although there seems to be a typo in the solution provided.
Step-by-step explanation:
To determine if the pairs (1,4) and (3,5) are solutions to the equation y = 7 - 3x, we must substitute the x-values into the equation and check if the resulting y-values match.
- For (1,4), substituting x = 1 gives us y = 7 - 3(1) = 4, which matches the y-value in the pair, so (1,4) is a solution.
- For (3,5), substituting x = 3 gives us y = 7 - 3(3) = -2, which does not match the y-value in the pair, so (3,5) is not a solution.
- To find another solution, we can choose any value for x and solve for y. Let's choose x = 0, then y = 7 - 3(0) = 7. Therefore, the pair (0,7) is another solution to the equation.
The correct answer to the question is B. Yes, No, (0,2). However, based on our third solution, it seems there might be a typo in the options provided as the correct pair should have been (0,7) instead of (0,2).