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"Which is a solution of the equation y = 4x + 3?

(5, 17)
(17, 5)
(4, 19)
(4, 16)"

User Hvelarde
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1 Answer

3 votes

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).

User Shuli
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