Which of the following equations has exactly one solution?(1 point)

Question

Responses

−3x−8=3x−8

−8x+3=−8x+3

3x−8=3x+8

−3x+8=−3x−8

Answer 1

The equation that has exactly one solution is −8x+3=−8x+3.

Answer 2

Solve for x to determine if the equation has one, none, or infinite solutions.
11x=3(7x−1)−10x(1 point)
Responses

The equation has no solution.

The equation has one solution: x=−1.

The equation has infinite solutions.

The equation has one solution: x=−3.

Answer 3

To solve the equation 11x=3(7x−1)−10x, we can start by simplifying the right side by distributing the 3 and subtracting 10x:

11x = 21x - 3 - 10x

Combining like terms:

11x = 11x - 3

Now, we notice that 11x is equal to itself, so no matter what value of x we choose, the equation will always be true. This means that the equation has infinite solutions.

The correct response is: The equation has infinite solutions.

Answer 4

Solve the following linear equation for x. Then check your answer. Show all your steps for solving and checking.

5x+8+x=32

Answer 5

To solve the equation 5x+8+x=32, we can start by combining like terms:

6x + 8 = 32

Next, we'll isolate x by subtracting 8 from both sides of the equation:

6x = 32 - 8

Simplifying, we have:

6x = 24

To solve for x, we divide both sides of the equation by 6:

x = 24/6

x = 4

To check our answer, we substitute the value of x back into the original equation:

5(4) + 8 + 4 = 32

20 + 8 + 4 = 32

32 = 32

Since both sides of the equation are equal, we have verified that x = 4 is indeed the correct solution.

So, the solution to the equation 5x+8+x=32 is x = 4.