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------------------------------------------------ Which of the following equations have infinitely many solutions?

Choose all answers that apply:

A. \(-76x + 76 = 76x + 76\)

B. \(-76x + 76 = -76x + 76\)

C. \(76x + 76 = 76x + 76\)

D. \(76x + 76 = -76x + 76\)

Answer :

The two equations with infinitely many solutions are the ones in options B and C.

  • −76x+76=−76x+76
  • 76x+76=76x+76

Which of the given equations has infinitely many solutions?

An equation only has infinitely many solutions if we have a true equation that does not depend of x.

For example, if you look at option B, we have:

-76x + 76 = -76x + 76

We have the same expression in both sides, if we subtract it in both sides we get:

0 = 0

This is true, and does not depend of x, so this equation has infinitely many solutions.

The same thing happens for equation C.

76x+76=76x+76

Where we have the same thing in both sides.

Learn more about equations:

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