Question

which of the following is an example of a equation with no solution?

3x + 4 = 3x + 4

3x + 4 = 3x + 3

4x + 3 = 3x + 3

3x + 4 = 4x + 3

Answer 1

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

3x + 4 = 3x + 3

3x + 4 = 3x + 4

4x + 3 = 4x + 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

Answer 3

same thing, but with a different equation. 4x = 3 (x + 5) - 15

Answer 4

same thing once more. But a different equation.
5 (2x + 2) - 7x = 3x + 6

Answer 5

The correct option is:

3x + 4 = 4x + 3

This equation would simplify to x = 1. Since the x values are not equal, this equation has no solution.

Answer 6

The equation with exactly one solution is:

3x + 4 = 3x + 4

This equation simplifies to 4 = 4, which is a true statement. This means that the equation has an infinite number of solutions, but every real number is a solution making it exact and only one solution.

Answer 7

Let's solve for x to determine if the equation has one, none, or infinite solutions:

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

This equation simplifies to 3x = 3x, which is a true statement. This means that the equation has an infinite number of solutions since every real number is a solution.

Answer 8

Let's solve for x to determine if the equation has one, none, or infinite solutions:

4x = 3(x + 5) - 15
4x = 3x + 15 - 15
4x = 3x

Subtracting 3x from both sides:
4x - 3x = 3x - 3x
x = 0

The solution to the equation is x = 0. Since there is a specific solution, the equation has one unique solution.

Answer 9

Let's solve for x to determine if the equation has one, none, or infinite solutions:

5(2x + 2) - 7x = 3x + 6
10x + 10 - 7x = 3x + 6
3x + 10 = 3x + 6

Subtracting 3x from both sides:
3x - 3x + 10 = 3x - 3x + 6
10 = 6

Since the equation simplifies to a false statement (10 = 6), there are no solutions to this equation. It has no solution.