Question

What is x? 5|9 − 5k| − 7 = 38

Answer 1

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