Question

Please answer with steps
question down below

Answer 1

`k = 9(3)/(5),\: k = - 8`

Explanation:

`|5k - 4| + 2 = 46 \\ \\ \implies \: |5k - 4| = 46 - 2 \\ \\ \implies \: |5k - 4| = 44 \\ \\\implies \: 5k - 4 = \pm \: 44 \\ \\\implies \: 5k - 4 = 44 \: \: or \: \:5k - 4 = - 44 \\ \\\implies \: 5k = 44 + 4 \: \: or \: \:5k = - 44 + 4\\ \\\implies \: 5k = 48 \: \: or \: \:5k = - 40\\ \\\implies \: k = (48)/(5) \: \: or \: \:k = ( - 40)/(5) \\ \\\implies \: k = 9(3)/(5) \: \: or \: \:k = - 8\\ \\`