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

Question

Responses

−3x+8=−3x−8
negative 3 x plus 8 equals negative 3 x minus 8

−3x−8=3x−8
negative 3 x minus 8 equals 3 x minus 8

3x−8=3x+8
3 x minus 8 equals 3 x plus 8

−8x+3=−8x+3

Answer 1

negative 8 x plus 3 equals negative 8 x plus 3

Answer 2

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

−3x+8=−3x−8

−3x−8=3x−8

3x−8=3x+8

−8x+3=−8x+3

Answer 3

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

Answer 4

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 no solution.

The equation has one solution: x=−3.
The equation has one solution: x equals negative 3 .

The equation has infinite solutions.
The equation has infinite solutions.

The equation has one solution: x=−1.

Answer 5

To solve the equation, we will first distribute on the right side:

11x = 21x - 3 - 10x

We can combine like terms:

11x = 11x - 3

Now, we can subtract 11x from both sides:

0 = -3

Since -3 is not equal to 0, this equation has no solution.

Answer 6

Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−4=2x+6(1 point)
Responses

The equation has one solution: x=0.
The equation has one solution: x equals 0 .

The equation has no solution.
The equation has no solution.

The equation has one solution: x=1.
The equation has one solution: x equals 1 .

The equation has infinite solutions

Answer 7

To solve the equation, we will first distribute on the left side:

10x + 10 - 4 = 2x + 6

Simplify:

10x + 6 = 2x + 6

Subtract 2x from both sides:

8x + 6 = 6

Subtract 6 from both sides:

8x = 0

Divide both sides by 8:

x = 0

Therefore, the equation has one solution: x = 0.

Answer 8

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

5x+8+x=32

Answer 9

To solve the linear equation, we will combine like terms and isolate the variable x:

5x + 8 + x = 32

Combine the x terms:

6x + 8 = 32

Subtract 8 from both sides:

6x = 24

Divide both sides by 6:

x = 4

To check our answer, we substitute x = 4 back into the original equation:

5(4) + 8 + 4 = 32

20 + 8 + 4 = 32

32 = 32

Since both sides of the equation are equal, our solution x = 4 is correct.