Question

Which of the following has infinitely many solutions

Answer 1

D

Explanation:

When the equation equals itself on both sides, you have an infinite solutions.

So we just go through each of the choices.

So D works because it has 0=0

Answer 2

See explanation.

Explanation:

A)

`2x+3=2x+5`

Subtract 2x,

`3=5`

Since this is not a true statement, the answer is no solution. Not infinitely many.

B)

`2x+3=3x+5`

Subtract 2x,

`3=x+5`

Subtract 5,

`x=-2`

x has one solution, not infinitely many.

C)

`3x-5=-5+2x`

Subtract 2x,

`x-5=-5`

Add 5,

`x=0`

Again, one solution, not infinitely many.

D)

`3x-5=-5+3x`

Subtract 3x,

`-5=-5`

Since this is a true statement, the answer is infinitely many solutions, or all real numbers.