Answer:
k =0 , k =18/5
Step-by-step explanation:
5|9 − 5k| − 7 = 38
Add 7 to each side
5|9 − 5k| − 7+7 = 38+7
5|9 − 5k| = 45
Divide each side by 5
5|9 − 5k| /5 = 45/5
|9 − 5k| = 9
We isolated the absolute value so now we split the equation into 2 parts, a positive and a negative
9-5k =9 9-5k = -9
Subtract 9 from each side
9-9-5k =9-9 9-9-5k = -9-9
-5k =0 -5k = -18
Divide each side by -5
-5k/-5 = 0/-5 -5k/-5 = -18/-5
k =0 k =18/5
