How many solutions does the equation −5a + 5a + 9 = 8 have?

Group of answer choices

One

Infinitely many

None

Two

1 answer

Let's simplify the equation step by step:

  1. Start with the original equation: \(-5a + 5a + 9 = 8\)

  2. Notice that \(-5a + 5a\) equals zero: \[ 0 + 9 = 8 \] Therefore, the equation simplifies to: \[ 9 = 8 \]

  3. The statement \(9 = 8\) is a contradiction; it is false.

Since the equation leads to a false statement, there are no solutions to the equation.

The answer is None.