Question

-x+5+6x=2+5x+3

identity
no solution

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine whether the equation -x+5+6x=2+5x+3 is an identity or has no solution, we need to simplify both sides of the equation and see if they are equal.

Starting with the left side:
-x + 5 + 6x can be simplified to 5x + 5.

Now simplifying the right side:
2 + 5x + 3 can be simplified to 5x + 5.

Now that both sides of the equation are equal (5x + 5 = 5x + 5), we can conclude that the equation is an identity.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine if the equation -x + 5 + 6x = 2 + 5x + 3 is an identity or has no solution, we need to simplify and compare the coefficients of x on both sides of the equation.

Starting with the left side of the equation:
-x + 5 + 6x simplifies to 5x + 5.

And the right side of the equation:
2 + 5x + 3 simplifies to 5x + 5.

Now, we can see that both sides of the equation simplify to 5x + 5. Since they are equal, this means the equation is an identity.

Therefore, the equation -x + 5 + 6x = 2 + 5x + 3 is an identity.

Answer 3

[AI-generated answer — Explain Bot]

To determine if the given equation has an identity or no solution, we need to simplify and compare the coefficients of the variables on both sides of the equation.

Let's solve the equation step-by-step:

-x + 5 + 6x = 2 + 5x + 3

First, combine like terms on both sides of the equation:
(-x + 6x) + 5 = (5x + 2) + 3

This simplifies to:
5x + 5 = 5x + 5

Notice that the coefficients of the variable x on both sides of the equation are the same (5x), and the constants on both sides are also the same (5). This means that the equation has an identity, meaning that any value of x will satisfy the equation.

Now, let's also check if there is no solution:

To do so, we subtract 5x from both sides of the equation:
5x + 5 - 5x = 5x + 5 - 5x

This simplifies to:
5 = 5

Since the constants on both sides of the equation are equal, this equation also satisfies the condition of no solution.

Therefore, the given equation has an identity and no solution at the same time.