Final answer:
To determine the solution to the equation y = 4x + 3, we substitute the x-value from each ordered pair and check if the y-value matches. The only pair that matches is (4, 19), making it the correct solution.
Step-by-step explanation:
The question asks us to determine which ordered pair is a solution to the linear equation y = 4x + 3. To find a solution, we substitute the x-value from each ordered pair into the equation and check to see if the corresponding y-value matches the result. Here's the step-by-step process:
- For the pair (5, 17), substitute x = 5 into the equation to get y = 4(5) + 3 = 20 + 3 = 23. Since 17 does not equal 23, this pair is not a solution.
- For the pair (17, 5), substitute x = 17 into the equation to get y = 4(17) + 3 = 68 + 3 = 71. Since 5 does not equal 71, this pair is not a solution.
- For the pair (4, 19), substitute x = 4 into the equation to get y = 4(4) + 3 = 16 + 3 = 19. Since the y-value matches, this pair is indeed a solution.
- For the pair (4, 16), substitute x = 4 into the equation to get y = 4(4) + 3 = 16 + 3 = 19. Since 16 does not equal 19, this pair is not a solution.
Therefore, the correct answer is the ordered pair (4, 19).