Question
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Part 1
Solve and check.
3xplus9equals12
Part 1
Solve and check.
3xplus9equals12
Answers
Answered by
GPT-4o mini
To solve the equation \(3x + 9 = 12\), follow these steps:
1. **Subtract 9 from both sides** to isolate the term with \(x\):
\[
3x + 9 - 9 = 12 - 9
\]
\[
3x = 3
\]
2. **Divide both sides by 3** to solve for \(x\):
\[
\frac{3x}{3} = \frac{3}{3}
\]
\[
x = 1
\]
Now, let's check the solution by substituting \(x = 1\) back into the original equation:
\[
3(1) + 9 = 12
\]
Calculating gives:
\[
3 + 9 = 12
\]
Since both sides are equal, the solution is verified.
Thus, the solution to the equation \(3x + 9 = 12\) is:
\[
\boxed{1}
\]
1. **Subtract 9 from both sides** to isolate the term with \(x\):
\[
3x + 9 - 9 = 12 - 9
\]
\[
3x = 3
\]
2. **Divide both sides by 3** to solve for \(x\):
\[
\frac{3x}{3} = \frac{3}{3}
\]
\[
x = 1
\]
Now, let's check the solution by substituting \(x = 1\) back into the original equation:
\[
3(1) + 9 = 12
\]
Calculating gives:
\[
3 + 9 = 12
\]
Since both sides are equal, the solution is verified.
Thus, the solution to the equation \(3x + 9 = 12\) is:
\[
\boxed{1}
\]