Let us Check the Solution of the Given Equation by Verification. If a Point is a Solution to the Given Equation then Left Hand Side of the Equation will be Equal to Right Hand Side of the Equation.
Given Equation : 3x + 2y = 8
✿ Verifying Option (A) : (0 , 3)
⇒ 3(0) + 2(3) = 8
⇒ 0 + 6 = 8
⇒ 6 = 8
As 6 ≠ 8, This Point is the Not the Solution of the Given Equation.
✿ Verifying Option (B) : (2 , 1)
⇒ 3(2) + 2(1) = 8
⇒ 6 + 2 = 8
⇒ 8 = 8
As 8 = 8, This Point is a Solution of the Given Equation.
✿ Verifying Option (C) : (-2 , 4)
⇒ 3(-2) + 2(4) = 8
⇒ -6 + 8 = 8
⇒ 2 = 8
As 2 ≠ 8, This Point is the Not the Solution of the Given Equation.
✿ Verifying Option (D) : (4 , 0)
⇒ 3(4) + 2(0) = 8
⇒ 12 + 0 = 8
⇒ 12 = 8
As 12 ≠ 8, This Point is the Not the Solution of the Given Equation.
So, The Only which is Satisfying the Given Equation is (2 , 1)
Option (B) is the Answer