Final answer:
To find a solution to the equation x + 7y = 17, test possible ordered pairs by substituting into the equation and verifying if both sides are equal. The ordered pair that makes the equation true is a solution.
Step-by-step explanation:
To determine which ordered pair is a solution to the equation x + 7y = 17, we can test given possible ordered pairs to see which pair satisfies the equation when the values are substituted for x and y respectively. You follow a step-by-step process: substitute the x-value of the ordered pair into the equation, solve for y, and check if the resulting y-value matches the y-value of the ordered pair.
For example, let's say the ordered pair we are testing is (3,2). We substitute 3 for x and 2 for y into the equation:
x + 7y = 17
3 + 7(2) = 17
3 + 14 = 17
17 = 17
This ordered pair does satisfy the equation because both sides equal 17. Repeat this process for other ordered pairs to find all solutions.