Final answer:
To find the y-value for each ordered pair in the equation 5x + 2y = 38, substitute the given x-value into the equation and solve for y. The completed ordered pairs are (6, 4), (0, 19), and (-2, 24).
Step-by-step explanation:
To find the value of y in each ordered pair for the equation 5x + 2y = 38, we must substitute the given x-values into the equation and solve for y.
- For the ordered pair (6, ), substitute x = 6 into the equation:
5(6) + 2y = 38
This simplifies to 30 + 2y = 38.
Subtract 30 from both sides to get 2y = 8, and then divide by 2 to find y = 4.
The completed ordered pair is (6, 4). - For the ordered pair (0, ), substitute x = 0 into the equation:
5(0) + 2y = 38
This simplifies to 2y = 38.
Divide by 2 to find y = 19.
The completed ordered pair is (0, 19). - For the ordered pair (-2, ), substitute x = -2 into the equation:
5(-2) + 2y = 38
This simplifies to -10 + 2y = 38.
Add 10 to both sides to get 2y = 48, and then divide by 2 to find y = 24.
The completed ordered pair is (-2, 24).