What is the solution to the equation 3x - 9 = 0?

Prepare for the UGA Math Placement Exam. Study with flashcards and multiple choice questions, each question has hints and explanations. Ace your exam with confidence!

To solve the equation (3x - 9 = 0), the goal is to isolate the variable (x).

First, add 9 to both sides of the equation to eliminate the constant on the left side:

[

3x - 9 + 9 = 0 + 9

]

This simplifies to:

[

3x = 9

]

Next, divide both sides of the equation by 3 to solve for (x):

[

\frac{3x}{3} = \frac{9}{3}

]

This simplifies to:

[

x = 3

]

Thus, the solution to the equation is (x = 3). This means that substituting (x = 3) back into the original equation will satisfy it, confirming that this is indeed the correct solution. When checked, (3(3) - 9) equals (9 - 9), which is (0), verifying that the equation holds true.

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