Question

Which of the following is an example of an equation with no solution?(1 point)
Responses

4x+3=3x+3
4 x plus 3 equals 3 x plus 3

3x+4=4x+3
3 x plus 4 equals 4 x plus 3

3x+4=3x+3
3 x plus 4 equals 3 x plus 3

3x+4=3x+4

Answer 1

Which of the following is an example of an equation with exactly one solution?(1 point)
Responses

3x+4=3x+4
3 x plus 4 equals 3 x plus 4

4x+3=4x+3
4 x plus 3 equals 4 x plus 3

3x+4=3x+3
3 x plus 4 equals 3 x plus 3

3x+4=4x+3

Answer 2

Solve for x to determine if the equation has one, none, or infinite solutions.
3(x+2)−6=3x(1 point)
Responses

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

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 one solution: x=3.

Answer 3

Solve for x to determine if the equation has one, none, or infinite solutions.
4x=3(x+5)−15(1 point)
Responses

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

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

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

The equation has one solution: x=−10.

Answer 4

Solve for x to determine if the equation has one, none, or infinite solutions.
5(2x+2)−7x=3x+6(1 point)
Responses

The equation has one solution: x=6.
The equation has one solution: x equals 6 .

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

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

The equation has one solution: x=10.

Answer 5

3x+4=3x+4 is an example of an equation with infinitely many solutions, not no solution.

Answer 6

3x+4=4x+3 is an example of an equation with exactly one solution.

Answer 7

To solve the equation 3(x+2)-6=3x, we can simplify the equation:

3x + 6 - 6 = 3x
3x = 3x

The variables cancel out, leaving us with an identity: 3x = 3x. This means that the equation has infinitely many solutions. Therefore, the correct response is "The equation has infinite solutions."

Answer 8

To solve the equation 4x = 3(x+5) - 15, we can simplify the equation:

4x = 3x + 15 - 15
4x = 3x

The variables cancel out, leaving us with an identity: 4x = 4x. This means that the equation has infinitely many solutions. Therefore, the correct response is "The equation has infinite solutions."

Answer 9

To solve the equation 5(2x+2) - 7x = 3x + 6, we can simplify the equation:

10x + 10 - 7x = 3x + 6
3x + 10 = 3x + 6
3x - 3x = 6 - 10
0 = -4

The equation simplifies to 0 = -4, which is not true. This means that there is no solution for x that satisfies the equation. Therefore, the correct response is "The equation has no solution."