Question

What is the answer for |-7-8k|=73 ?​

Answer 1

`\large\boxed{k=-10\ or\ k=(33)/(4)}`

Explanation:

`|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a<0\end{array}\right\\\\\text{Example of an quation with absolute value:}\\\\|a|=2\iff a=2\ \vee\ a=-2\\============================`

`|-7-8k|=73\iff-7-8k=73\ \vee\ -7-8k=-73\\\\\text{add 7 to both sides}\\\\-7+7-8k=73+7\ \vee\ -7+7-8k=-73+7\\\\-8k=80\ \vee\ -8k=-66\qquad\text{divide both sides by (-8)}\\\\(-8k)/(-8)=(80)/(-8)\ \vee\ (-8k)/(-8)=(-66)/(-8)\\\\k=-10\ \vee\ k=(33)/(4)`