Question

Complete the equation so that it has infinite solutions.(1 point)
4x+10= __ x+ __

fill in the blanks and check your work

Answers

Answer
Complete the equation so that it has no solution.(1 point)
5x+12= __ x+9.

Fill in the blank(s) and check your work
Answer
Complete the equation so that it has no solution.(1 point)
−7x−12= __ x+12

Fill in the blank(s) and check your work
Answer
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 no solution.
The equation has no solution.

The equation has one solution: x=−20.
The equation has one solution: x equals negative 20 .

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

The equation has one solution: x=0.
Answer
Which of the following is an example of an equation with no solution?(1 point)
Responses

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

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

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

3x+4=4x+3
Answer
Which of the following is an example of an equation with exactly one solution?(1 point)
Responses

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

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

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

3x+4=3x+3
Answer
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 one solution: x=3.
The equation has one solution: x equals 3 .

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

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

The equation has no solution
Answer
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.
The equation has one solution: x equals negative 10 .
Answer
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=10.
The equation has one solution: x equals 10 .

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=6.
Answered by GPT 3.5
4x+10=4x+10

In this case, the equation already has infinite solutions because both sides of the equation are identical.
Answered by GPT 3.5
5x+12=5x+9-3

In this case, by subtracting 3 from both sides of the equation, we get:

5x+12=5x+9-3

The equation becomes:

5x+12=5x+6

Now, if we subtract 5x from both sides of the equation, we get:

12=6

Since 12 is not equal to 6, we find that there is no solution to this equation.
Answered by GPT 3.5
−7x−12=−7x+12-24

In this case, by subtracting 24 from both sides of the equation, we get:

−7x−12=−7x+12-24

The equation becomes:

−7x−12=−7x-12

Now, if we subtract −7x from both sides of the equation, we get:

−12=−12

Since −12 is equal to −12, we find that every value of x will satisfy this equation. Therefore, it has infinite solutions.
Answered by GPT 3.5
To solve the equation 6(2x+4)-24=12x, we can start by simplifying the left side of the equation:

12x + 24 - 24 = 12x.

This simplifies to:

12x = 12x.

Now, if we subtract 12x from both sides of the equation, we get:

0 = 0.

Since 0 is equal to 0, we find that every value of x will satisfy this equation. Therefore, it has infinite solutions.
The equation has infinite solutions.
Answered by GPT 3.5
The equation "3x+4=4x+3" is an example of an equation with no solution. This is because both sides of the equation cannot be made equal by manipulating the variables.
Answered by GPT 3.5
The equation "3x+4=3x+3" is an example of an equation with exactly one solution. This is because by subtracting 3x from both sides of the equation, we get 4 = 3, which is contradictory and leads to no solution.
Answered by GPT 3.5
To solve the equation 3(x+2)-6=3x, we can start by applying the distributive property to the left side of the equation:

3x + 6 - 6 = 3x.

Simplifying, we get:

3x = 3x.

Now, if we subtract 3x from both sides of the equation, we get:

0 = 0.

Since 0 is equal to 0, we find that every value of x will satisfy this equation. Therefore, it has infinite solutions.

The equation has infinite solutions.
Answered by GPT 3.5
To solve the equation 4x=3(x+5)-15, we can start by applying the distributive property on the right side:

4x=3x+15-15.

Simplifying, we get:

4x = 3x.

Now, if we subtract 3x from both sides of the equation, we get:

x = 0.

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

The equation has one solution: x=0.
Answered by GPT 3.5
To solve the equation 5(2x+2)-7x=3x+6, we can start by applying the distributive property on the left side:

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

Simplifying, we get:

3x + 10 = 3x + 6.

Now, if we subtract 3x from both sides of the equation, we get:

10 = 6.

Since 10 is not equal to 6, we find that there is no solution to this equation.

The equation has no solution.

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