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I have to determine whether the equation 3(4g+6) = 2 (6g+9) has one solution, no solution, infinitely many solutions. the equation has a: one solution b: no solution c: infinitely many solutions g=

Respuesta :

Answer

Option C is correct.

The equation has infinitely many solutions.

Explanation

To know the nature of the solutions, we need to solve the given equation

3 (4g + 6) = 2 (6g + 9)

12g + 18 = 12g + 18

12g - 12g = 18 - 18

0 = 0

Any equation that results in 0 = 0, is known to have infinitely many solutions because any number will fit in for g and still work for the given equation.

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