5x + 12 = ___x +9

Question

Complete the equation so that it has no solution

Answer 1

5x + 12 = 5x + 9

Answer 2

-7x - 12 = ___x + 12

Complete the equation so that it has no solution

Answer 3

-7x - 12 = -7x + 12

Answer 4

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 5

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 6

pick an answer

Answer 7

The equation has infinite solutions.

Answer 8

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 9

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 10

Complete the equation so that it has infinite solutions

4x + 10 = ___x+ ___

Answer 11

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 12

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 13

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

Answer 14

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 15

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

Answer 16

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 17

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 18

pick an answer.

Answer 19

The equation has infinite solutions.

Answer 20

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 21

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 22

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 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.