Question

Which of the following equations have infinitely many solutions? Choose all answers that apply: Choose all answers that apply: (Choice A) A -19x-19=-19x+19−19x−19=−19x+19minus, 19, x, minus, 19, equals, minus, 19, x, plus, 19 (Choice B) B -19x-19=-19x-19−19x−19=−19x−19minus, 19, x, minus, 19, equals, minus, 19, x, minus, 19 (Choice C) C -19x+91=-19x+91−19x+91=−19x+91minus, 19, x, plus, 91, equals, minus, 19, x, plus, 91 (Choice D) D -19x-38=-19x-38−19x−38=−19x−38

Answer 1

Answer: B C D

Explanation:

Answer 2

Here are the equations with infinitely many solutions:

Equations

-19x-19 = -19x-19

-19x+91 = -19x+91

-19x-38 = -19x-38 and the correct option is B, C, D.

Let's analyze the equations and determine which ones have infinitely many solutions:

Equation 1:

-19x-19 = -19x+19

We can solve this equation by adding 19 to both sides:

-19x = -19x+38

Adding 19x to both sides, we get:

0 = 38

This equation has no solutions, as 0 is never equal to 38.

Equation 2:

-19x-19 = -19x-19

Both sides of the equation are identical, so the equation has infinitely many solutions.

Equation 3:

-19x+91 = -19x+91

Similar to Equation 2, both sides of the equation are identical, resulting in infinitely many solutions.

Equation 4:

-19x-38 = -19x-38

As with Equation 2 and Equation 3, both sides of the equation are identical, leading to infinitely many solutions.

Therefore, the equations with infinitely many solutions are:

-19x-19 = -19x-19

-19x+91 = -19x+91

-19x-38 = -19x-38

Therefore the correct option is B, C, D.