Question

Which equation has infinitely many solutions?

A.
-5(x + 2) = -4x- 12 - X + 2
B.
3x- 4 + 2x = 5(x-4)
c. 5(x + 7) = -5(x-7)
D
6x+ 2 - X=-2x - 2 + 7x

Answer 1

A has infinitely many solutions

Explanation:

Once you distribute A you get

-5x-10= -4x-12-x+2

Once you simplfy all that you get

-5x-10= -5x-10

You can check this by putting in a random number and both sides will be equal.

Answer 2

A. -5(x + 2) = -4x - 12 - x + 2

Explanation:

The equation that has infinitely many solutions will be the same on both sides.

A is the correct answer.

Simplify the equation by distributing -5 and adding like terms:

-5(x + 2) = -4x - 12 - x + 2

-5x - 10 = -4x - 12 - x + 2

-5x - 10 = -5x - 10

So, this equation is the same on both sides and will have infinitely many solutions.

A is the correct answer.