Answer:
j=-1/4
Explanation:
Given the equation:
[tex]-8j-1=1[/tex]To solve for j, begin by adding 1 to both sides of the equation.
[tex]\begin{gathered} -8j-1+1=1+1 \\ -8j+0=2 \\ -8j=2 \end{gathered}[/tex]Next, divide both sides by the coefficient of j, -8.
[tex]\begin{gathered} \frac{-8j}{-8}=\frac{2}{-8} \\ j=-\frac{2}{8} \end{gathered}[/tex]Finally, reduce the result to its simplest form.
[tex]\begin{gathered} j=-\frac{2}{2\times4}=-\frac{\cancel{2}}{\cancel{2}\times4} \\ j=-\frac{1}{4} \end{gathered}[/tex]The value of j is -1/4.
