Question

Select all of the correct solutions for the following equation:

x + 2y = 8 + 2c.

A. (4, 5)
B. (2, 5)
C. (-6, 1)
D. None of the above

Answer 1

To find the correct solutions for the equation x + 2y = 8 + 2c, substitute values for x, y, and c from each option. None of the options satisfy the equation, so the correct solution is D. None of the above.

Step-by-step explanation:

To find the correct solutions for the equation x + 2y = 8 + 2c, we need to substitute different values for x, y, and c and check if the equation holds true. Let's test each option:

• Option A: (4, 5)
  Substituting x = 4 and y = 5, the equation becomes 4 + 2(5) = 8 + 2c. Simplifying, we get 14 = 8 + 2c, which is not true. So, Option A is not a correct solution.
• Option B: (2, 5)
  Substituting x = 2 and y = 5, the equation becomes 2 + 2(5) = 8 + 2c. Simplifying, we get 12 = 8 + 2c, which is not true. So, Option B is not a correct solution.
• Option C: (-6, 1)
  Substituting x = -6 and y = 1, the equation becomes -6 + 2(1) = 8 + 2c. Simplifying, we get -4 = 8 + 2c, which is not true. So, Option C is not a correct solution.
• Option D: None of the above
  Since none of the options satisfy the equation x + 2y = 8 + 2c, the correct solution is D. None of the above.