Use a property of equality to solve the equation. Then check the result. \[ x+\frac{1}{18}=\frac{10}{9} \] SUBMIT ANSWER

To solve the equation \( x+\frac{1}{18}=\frac{10}{9} \), you can use the property of equality that states if two expressions are equal, adding or subtracting the same value from both sides maintains equality. First, subtract \(\frac{1}{18}\) from both sides: \[ x = \frac{10}{9} - \frac{1}{18} \] To perform this subtraction, you need a common denominator. The least common denominator of 9 and 18 is 18. Convert \(\frac{10}{9}\) to have a denominator of 18: \[ \frac{10}{9} = \frac{20}{18} \] Now substitute back into the equation: \[ x = \frac{20}{18} - \frac{1}{18} = \frac{19}{18} \] Now we have our solution: \( x = \frac{19}{18} \). To check the result, substitute \( x \) back into the original equation: \[ \frac{19}{18} + \frac{1}{18} = \frac{20}{18} = \frac{10}{9} \] Since both sides of the equation are equal, the solution \( x = \frac{19}{18} \) is verified!