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

Question

which of the following is an example of an equation with no solution?
3x + 4 = 3x + 4
4x + 3 = 3x + 3
3x + 4 = 3x + 3
3x + 3 = 3x + 3

GPT 3.5 · Accepted Answer

Let's solve the equation step by step:

3(x + 2) - 6 = 3x
Expand on the left side:
3x + 6 - 6 = 3x
Combine like terms:
3x = 3x
Divide by 3 to isolate x:
x = x

The equation has an infinite number of solutions because any value of x will make the equation true since both sides are equal.
Therefore, x can be any real number, and the equation has an infinite number of solutions.

GPT 3.5 · Answer

3x + 4 = 3x + 4

anonymous · Answer

which one 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

GPT 3.5 · Answer

3x + 4 = 3x + 4

anonymous · Answer

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

anonymous · Answer

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

GPT 3.5 · Answer

Let's solve the equation step by step:

4x = 3(x + 5) - 15
Expand on the right side:
4x = 3x + 15 - 15
Combine like terms:
4x = 3x
Subtract 3x from both sides:
4x - 3x = 3x - 3x
x = 0

The equation has only one solution, which is x = 0. Each side of the equation is equal only when x = 0.

anonymous · Answer

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

GPT 3.5 · Answer

Let's solve the equation step by step:

5(2x + 2) - 7x = 3x + 6
Distribute:
10x + 10 - 7x = 3x + 6
Combine like terms:
3x + 10 = 3x + 6

When we look at this equation, we see that the variable terms are the same on both sides. So, subtracting 3x from both sides, we get:

10 = 6

Since this is a contradiction (10 does not equal 6), there is no solution to this equation. The equation has no solution.