Respuesta :
Answer:
B and C
Explanation:
To be able to determine all of the equations that have a = -1/2 as a solution, we'll substitute a = -1/2 into all of the equations and see which ones give us the value at the right-hand side of the equation.
A.
[tex]\begin{gathered} \frac{2}{7}(-\frac{1}{2})-\frac{6}{7}=\frac{5}{7} \\ -\frac{1}{7}-\frac{6}{7}=\frac{5}{7} \\ \frac{-1-6}{7}=\frac{5}{7} \\ -\frac{7}{7}\ne\frac{5}{7} \\ -1\ne\frac{5}{7} \end{gathered}[/tex]Since both sides of the equation are not equal, then a = -1/2 is not a solution of the equation.
B.
[tex]\begin{gathered} \frac{4}{7}(-\frac{1}{2})+\frac{3}{7}=\frac{1}{7} \\ -\frac{2}{7}+\frac{3}{7}=\frac{1}{7} \\ \frac{-2+3}{7}=\frac{1}{7} \\ \frac{1}{7}=\frac{1}{7} \end{gathered}[/tex]Since both sides of the equation are equal, then a = -1/2 is a solution to the equation.
C.
[tex]\begin{gathered} \frac{2}{7}(-\frac{1}{2})+\frac{6}{7}=\frac{5}{7} \\ -\frac{1}{7}+\frac{6}{7}=\frac{5}{7} \\ \frac{-1+6}{7}=\frac{5}{7} \\ \frac{5}{7}=\frac{5}{7} \end{gathered}[/tex]Since both sides of the equation are equal, then a = -1/2 is a solution to the equation.
D.
[tex]\begin{gathered} \frac{4}{7}(-\frac{1}{2})-\frac{3}{7}=\frac{1}{7} \\ -\frac{2}{7}-\frac{3}{7}=\frac{1}{7} \\ \frac{-2-3}{7}=\frac{1}{7} \\ -\frac{5}{7}\ne\frac{1}{7} \end{gathered}[/tex]Since both sides of the equation are not equal, then a = -1/2 is not a solution of the equation.
