Question

Candice wrote the four equations below. She examined them, without solving them, to determine which equation has an infinite number of solutions. Which of Candice's equations has an infinite number of solutions?

Answer 1

A.
`-5x + 1=- 5x + 1`

Explanation:

We have been given 4 equations. We are asked to choose the equation, which has infinitely many solutions without solving the equations.

Our given equations are:

A.
`-5x + 1=- 5x + 1`

B.
`-2x + 1 = 2x + 2`

C.
`3x + 5 = 3x - 5`

D.
`4x - 2 = x + 1`

We know that an equation has infinitely many solutions, when both sides of equation are same or both sides of equation represent same line.

Upon looking at our given choices, we can see that equation represented by option A has both sides same, therefore, equation
`-5x + 1=- 5x + 1` has an infinite number of solutions.