Question

-5|3+4k|=-115

Need the answer!!!!!

Answer 1

k = 5 (or) k = -6.5

Explanation:

Given equation,

→ -5|3 + 4k| = -115

Then the value of k will be,

→ -5|3 + 4k| = -115

→ |3 + 4k| = -115/-5

→ 3 + 4k = 23 || → 3 + 4k = -23

→ 4k = 23 - 3 || → 4k = -23 - 3

→ k = 20/4 || → k = -26/4

→ [ k = 5 ] || → [ k = -6.5 ]

Hence, values are 5 and -6.5.

Answer 2

• k = {- 6.5; 5}

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Solution in steps:

• -5 |3 + 4k| = -115 Given
• |3 + 4k| = - 115/ - 5 Divide both sides by - 5
• |3 + 4k| = 23 Open absolute value
• 3 + 4k = 23 and 3 + 4k = - 23 Two scenarios, subtract 3 from both sides
• 4k = 20 and 4k = - 26 Simplify
• k = 20/4 and k = -26/4 Divide by 4
• k = 5 and k = - 6.5 Answer