Determine if the given value is a solution to the equation.
-$$\frac { 1 } { 5 } y + \frac { 1 } { 2 } y = 4 ; 17 \frac { 1 } { 7 }$$
A) not a solution
B) solution

Question

Quizplus · Accepted Answer

To determine if $17 \frac{1}{7}$ is a solution to the equation $\frac{1}{5}y + \frac{1}{2}y = 4$, substitute $y = 17 \frac{1}{7}$ (which is $y = \frac{120}{7}$) into the equation and simplify:$$\frac{1}{5} \left(\frac{120}{7}\right) + \frac{1}{2} \left(\frac{120}{7}\right) = \frac{24}{7} + \frac{60}{7} = \frac{84}{7} = 12$$Since the result, 12, does not equal 4, $17 \frac{1}{7}$ is not a solution to the equation.

Determine If the Given Value Is a Solution to the Equation