Which of the following points are solutions to the equation 3x + 4y = 8? Select all that apply.

To determine whether a point is a solution to the equation 3x + 4y = 8, we need to substitute the x and y values of each point into the equation and check if the equation holds true.

Let’s analyze a few points:

• Point A: (0, 2)
  • Substituting x = 0 and y = 2:
    3(0) + 4(2) = 0 + 8 = 8.
    This point is a solution.
• Point B: (2, 0)
  • Substituting x = 2 and y = 0:
    3(2) + 4(0) = 6 + 0 = 6.
    This point is not a solution.
• Point C: (4, -3)
  • Substituting x = 4 and y = -3:
    3(4) + 4(-3) = 12 – 12 = 0.
    This point is not a solution.
• Point D: (0, 2)
  • Substituting x = 0 and y = 2:
    3(0) + 4(2) = 0 + 8 = 8.
    This point is a solution.

In this example, we find that Point A (0, 2) is a solution to the equation, while Point B (2, 0) and Point C (4, -3) are not.
Only points that satisfy the equation are considered valid solutions.