Determine whether the given value is a solution of the equation.
-$$x = \frac { 1 } { 4 } , \frac { 2 } { 9 } x + \frac { 17 } { 18 } = 1$$
A) Yes
B) No

Question

Quizplus · Accepted Answer

Substitute the value of x into the equation:

$$\frac{2}{9}\left(\frac{1}{4}\right) + \frac{17}{18} = 1$$

Simplifying the left side:

$$\frac{1}{9}+ \frac{17}{18} = \frac{2}{18} + \frac{17}{18} = \frac{19}{18}$$

Since $\frac{19}{18}$ does not equal 1, the value of $x=\frac{1}{4}$ is not a solution to the equation. Therefore the answer is B.

Determine Whether the Given Value Is a Solution of the Equation