Question

Which equation has no solution? Responses 2x−6x=4(1−x)−4 2 x − 6 x = 4 ( 1 − x ) − 4 6x−2x=4(1−x)−4 6 x − 2 x = 4 ( 1 − x ) − 4 2x−6x=4(1−x)+4 2 x − 6 x = 4 ( 1 − x ) + 4 6x−2x=4(1−x)+4

Answer 1

The equation 2x - 6x = 4(1 - x) - 4 has no solution.

Step-by-step explanation:

In order to find the equation that has no solution, we need to analyze each equation and determine if there is a value of x that satisfies the equation.

Let's start by looking at the first equation: 2x - 6x = 4(1 - x) - 4.

By simplifying both sides of the equation, we get -4x = 4 - 4x.

By rearranging the terms, we get 0 = 4, which is not possible.

Therefore, the first equation has no solution.

Answer 2

The equation 2x−6x=4(1−x)−4 has infinitely many solutions, not no solution.

Step-by-step explanation:

The equation that has no solution is 2x−6x=4(1−x)−4.

To solve the equation, we can simplify both sides:

2x−6x=4(1−x)−4
-4x = 4 - 4x - 4
-4x + 4x = 4 - 4
0 = 0

As you can see, the left side simplifies to 0 = 0, which is a true statement. This means that the equation has infinitely many solutions, not no solution.