Question

Solve the equation. Then determine whether the equation is an identity, a conditional equation, or an inconsistent equation.

10x + 9 = 6x + 9
What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The equation has a single solution. The solution set is {}.
O B. The solution set is x is a real number.
O C. The solution set is Ø.
What type of equation is this?
O A. an inconsistent equation
O B. an identity
O c. a conditional equation

Answer 1

I don't know

Explanation:

Answer 2

1. The solution set is x (option B)

2. It is an identity (option B).

Let's solve the equation
`\(10x + 9 = 6x + 9\)`:

`\(10x + 9 = 6x + 9\)`

To solve this equation, we can start by isolating the variable terms:

`\(10x - 6x = 9 - 9\)`

`\(4x = 0\)`

Dividing both sides by 4:

`\(x = 0\)`

Now, let's determine the nature of the equation based on the solution we found.

The solution to the equation is
`\(x = 0\)`. This means that when you substitute
`\(x = 0\)` back into the original equation, it holds true:

`\(10(0) + 9 = 6(0) + 9\)`

`\(9 = 9\)`

This equation is an identity because the solution
`\(x = 0\)` satisfies the equation for all values of
`\(x\)`.