Question

5x + 12 = ___x +9

Complete the equation so that it has no solution

Answer 1

-7x - 12 = ___x + 12

Complete the equation so that it has no solution

Answer 2

Solve for x
to determine if the equation has one, none, or infinite solutions.

6(2x+4)−24=12x

(1 point)
Responses

The equation has infinite solutions.


The equation has one solution: x=0
.


The equation has no solution.


The equation has one solution: x=−20
.

Answer 3

pick an answer

Answer 4

Solve for x
to determine if the equation has one, none, or infinite solutions.

9(x+1)=3(5x+1)−12


The equation has no solution.


The equation has one solution: x=3
.


The equation has infinite solutions.


The equation has one solution: x=0
.

Answer 5

Complete the equation so that it has infinite solutions

4x + 10 = ___x+ ___

Answer 6

Which of the following is an example of an equation with no solution?

3x+4=4x+3


4x+3=3x+3


3x+4=3x+3


3x+4=3x+4

Answer 7

Which of the following is an example of an equation with exactly one solution?

3x+4=4x+3


4x+3=4x+3


3x+4=3x+3


3x+4=3x+4

Answer 8

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

The equation has one solution: x=3.


The equation has infinite solutions.


The equation has one solution: x=−3.


The equation has no solution.

Answer 9

pick an answer.

Answer 10

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

The equation has no solution.


The equation has one solution: x=0.


The equation has one solution: x=−10.


The equation has infinite solutions.

Answer 11

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

The equation has no solution.


The equation has one solution: x=6.


The equation has infinite solutions.


The equation has one solution: x=10.

Answer 12

5x + 12 = 5x + 9

Answer 13

-7x - 12 = -7x + 12

Answer 14

Let's solve the equation step by step:

6(2x+4) − 24 = 12x

Distributing the 6 on the left side of the equation:

12x + 24 - 24 = 12x

The 24 and -24 cancel out:

12x = 12x

The equation simplifies to:

0 = 0

Since both sides of the equation are equal, this means that the equation has infinite solutions.

Answer 15

The equation has infinite solutions.

Answer 16

Let's solve the equation step by step:

9(x + 1) = 3(5x + 1) - 12

Expanding the parentheses on both sides:

9x + 9 = 15x + 3 - 12

Combining like terms:

9x + 9 = 15x - 9

Subtracting 9x from both sides:

9 = 6x - 9

Adding 9 to both sides:

18 = 6x

Dividing both sides by 6:

x = 3

So, the equation has one solution: x = 3.

Answer 17

To make the equation have infinite solutions, we can choose any value for the coefficients of x and the constants on the right side.

Let's complete the equation with coefficients of 1 for x and constants of -10 on the right side:

4x + 10 = x - 10

Answer 18

The equation "3x+4=4x+3" is an example of an equation with no solution.

Answer 19

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

Answer 20

Let's solve the equation step by step:

3(x + 2) - 6 = 3x

Expand the parentheses on the left side of the equation:

3x + 6 - 6 = 3x

The +6 and -6 on the left side of the equation cancel out:

3x = 3x

This equation indicates that the two sides are equal for any value of x. Therefore, the equation has infinite solutions.

Answer 21

The equation has infinite solutions.

Answer 22

Let's solve the equation step by step:

4x = 3(x+5) - 15

Distribute the 3 on the right side of the equation:

4x = 3x + 15 - 15

Simplify and combine like terms:

4x = 3x

Subtract 3x from both sides:

x = 0

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

Answer 23

Let's solve the equation step by step:

5(2x+2) - 7x = 3x + 6

Distribute the 5 on the left side of the equation:

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

Combine like terms:

3x + 10 = 3x + 6

Subtract 3x from both sides:

10 = 6

This implies that 10 is equal to 6, which is not true. Therefore, the equation has no solution.