Question

which of the following has infinitely many solutions

Answer 1

Answer:

D

Step-by-step 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

Answer:

See explanation.

Step-by-step 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.