Please answer with steps question down below

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Daiki asked Jun 22, 2023

466,204 views

29 votes

Please answer with steps
question down below

Mathematics
high-school

Daiki asked Jun 22, 2023

by Daiki

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1 Answer

22 votes

Answer:

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

Explanation:

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