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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

2 Answers

9 votes

Answer:

I don't know

Explanation:

User Joanolo
by
8.0k points
7 votes

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
\(x\).

User Mattimatti
by
7.1k points

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