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

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

• A. -3
• B. 3
• C. 0
• D. 6

Answer: (A)

To find the solution to the equation \(3x + 9 = 0\), you will isolate the variable \(x\). First, start by subtracting 9 from both sides of the equation: \[ 3x + 9 - 9 = 0 - 9 \] This simplifies to: \[ 3x = -9 \] Next, divide both sides by 3 to solve for \(x\): \[ x = \frac{-9}{3} \] This gives: \[ x = -3 \] Therefore, the correct solution is \(-3\). It satisfies the original equation because if you substitute \(-3\) back into \(3x + 9\): \[ 3(-3) + 9 = -9 + 9 = 0 \] Thus, it verifies that \(-3\) is indeed the solution. The other options do not satisfy the equation as shown through the isolating process or by substitution into the original equation.

To find the solution to the equation (3x + 9 = 0), you will isolate the variable (x).

First, start by subtracting 9 from both sides of the equation:

[

3x + 9 - 9 = 0 - 9

]

This simplifies to:

[

3x = -9

]

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

[

x = \frac{-9}{3}

]

This gives:

[

x = -3

]

Therefore, the correct solution is (-3). It satisfies the original equation because if you substitute (-3) back into (3x + 9):

[

3(-3) + 9 = -9 + 9 = 0

]

Thus, it verifies that (-3) is indeed the solution. The other options do not satisfy the equation as shown through the isolating process or by substitution into the original equation.