Determine if the given value is a solution to the equation.
-$$\frac { 1 } { 4 } ( x - 4 ) + 2 = \frac { 3 } { 5 } ( 2 x - 5 ) ; 6$$
A) solution
B) not a solution

Question

Quizplus · Accepted Answer

Substitute $ x = 6 $ into the equation: $\frac{1}{4}(6 - 4) + 2 = \frac{3}{5}(2 \times 6 - 5)$. Simplifying both sides, the left side becomes $ \frac{1}{4}(2) + 2 = \frac{1}{2} + 2 = 2.5 $, and the right side becomes $ \frac{3}{5}(12 - 5) = \frac{3}{5}(7) = 4.2 $. Since $ 2.5 \neq 4.2 $, $ x = 6 $ is not a solution.

Determine If the Given Value Is a Solution to the Equation