Question

Select all the equations with infinitely many solutions.

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O 6 (x + 2) - 12 = 6x + 2
O 4x2 = 4(x - 2) + 6
O 2(3x − 6) = 6(−2+x)
O 6 (x+2) - 10 = 2x + 10
O 6(x+2) - 10 = 6x + 2

Answer 1

The equations with infinitely many solutions are: 6 (x + 2) - 12 = 6x + 2, 2(3x − 6) = 6(−2+x), and 6(x+2) - 10 = 6x + 2

Step-by-step explanation:

The equations with infinitely many solutions are:

• 6 (x + 2) - 12 = 6x + 2
• 2(3x − 6) = 6(−2+x)
• 6(x+2) - 10 = 6x + 2

An equation has infinitely many solutions if the variable can be eliminated and the resulting equation is always true regardless of the value assigned to the variable. In the given equations, when simplified, they all result in true statements. Therefore, these equations have infinitely many solutions.

Learn more about equations with infinite solutions