Solve for the variable
1. $\sqrt{3 x+1}=5$

Answer

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Answer

The solution to the equation $\sqrt{3x + 1} = 5$ is $x = \boxed{8}$.

Steps

Step 1 ：Square both sides of the equation to get rid of the square root: $ (\sqrt{3x + 1})^2 = 5^2 $ which simplifies to $3x + 1 = 25$.

Step 2 ：Subtract 1 from both sides to isolate 3x: $3x = 25 - 1$ which simplifies to $3x = 24$.

Step 3 ：Divide both sides by 3 to solve for x: $x = \frac{24}{3}$ which simplifies to $x = 8$.

Step 4 ：The solution to the equation $\sqrt{3x + 1} = 5$ is $x = \boxed{8}$.