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Determine whether the point (3,1) is a solution to the equation 4x-2y=6

Determine whether the point (3,1) (3,1) is a solution to the equation 4x−2y=6 4 x-2 y=6

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Full solution

Q. Determine whether the point (3,1) (3,1) is a solution to the equation 4x−2y=6 4 x-2 y=6
  1. Substitution and Calculation: To determine if the point (3,1)(3,1) is a solution to the equation 4x−2y=64x-2y=6, we need to substitute xx with 33 and yy with 11 into the equation and check if the equation holds true.\newlineCalculation: 4(3)−2(1)=12−2=104(3) - 2(1) = 12 - 2 = 10
  2. Comparison and Conclusion: Now we compare the result from the substitution with the right-hand side of the equation, which is 66. Since 1010 does not equal 66, the point (3,1)(3,1) is not a solution to the equation 4x−2y=64x-2y=6.

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