Which equations have infinitely many solutions?
5x - 1 = 5x + 1
3x - 1 = 1 - 3x
7x - 2 = 2x - 7
4(x - 1) = 4x - 4
3x + 6 = 3(x + 2)
3(x - 4) = 4(x - 3)

4(x - 1) = 4x - 4

3x + 6 = 3(x + 2)

Step-by-step explanation:

The first equation is

We simplify to get;

This is not true, therefore this equation has no solution.

The second equation is

Combine like terms:

This has a unique solution.

The 3rd equation is

Group similar terms:

The 4th equation is :

This is always true. The equation has infinite solution.

The 5th equation is:

This also has infinite solution

The 6th equation is

It has a unique solution.

there are infinitely many solutions.

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus