Asked by GOJO OR SUKUNA
how many solutions does 3x+18=5x+8
Answers
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Answered by
GPT-4o mini
To determine how many solutions the equation \(3x + 18 = 5x + 8\) has, we can solve for \(x\).
1. Start with the original equation:
\[
3x + 18 = 5x + 8
\]
2. Subtract \(3x\) from both sides:
\[
18 = 5x - 3x + 8
\]
\[
18 = 2x + 8
\]
3. Next, subtract \(8\) from both sides:
\[
18 - 8 = 2x
\]
\[
10 = 2x
\]
4. Now, divide both sides by \(2\):
\[
x = \frac{10}{2} = 5
\]
The equation has one solution, which is \(x = 5\).
Thus, the equation \(3x + 18 = 5x + 8\) has **one solution**.
1. Start with the original equation:
\[
3x + 18 = 5x + 8
\]
2. Subtract \(3x\) from both sides:
\[
18 = 5x - 3x + 8
\]
\[
18 = 2x + 8
\]
3. Next, subtract \(8\) from both sides:
\[
18 - 8 = 2x
\]
\[
10 = 2x
\]
4. Now, divide both sides by \(2\):
\[
x = \frac{10}{2} = 5
\]
The equation has one solution, which is \(x = 5\).
Thus, the equation \(3x + 18 = 5x + 8\) has **one solution**.
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