Which is a solution to the equation 3x + 2y = 8? a) (0 , 3) b) (2 , 1) c) (-2, 4) d) (4, 0)

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

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Step-by-step explanation: