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List 3 orders pairs that satisfy the equation 5x + y =6

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Final answer:

To find 3 ordered pairs that satisfy the equation 5x + y = 6, we choose different values for x and then solve for y. Examples include (0, 6), (1, 1), and (-1, 11).

Step-by-step explanation:

To list 3 order pairs that satisfy the equation 5x + y = 6, we need to find combinations of x and y that make the equation true. We can select any value for x and solve for y, or vice versa. Here are three possible pairs:

  1. Let x = 0. Then 5(0) + y = 6, which simplifies to y = 6. So, the ordered pair is (0, 6).
  2. Let x = 1. Then 5(1) + y = 6, which simplifies to 5 + y = 6, or y = 1. Thus, the ordered pair is (1, 1).
  3. Let x = -1. Then 5(-1) + y = 6, which simplifies to -5 + y = 6, or y = 11. Therefore, the ordered pair is (-1, 11).

These ordered pairs are just a few examples of the infinite number of solutions that can satisfy a linear equation with two variables.

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