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muminat
1 year ago
14

-5 / 3 + 4k / = -115

Mathematics
1 answer:
valkas [14]1 year ago
8 0

Answer:

\frac{11}{2} ,-\frac{13}{2}

Step-by-step explanation:

we know That l x l = x when x > 0 and l x l = - x when x <0

for the given equation - 5|3 + 4k| = - 115

when 3 + 4k > 0 the equation becomes

-5(3+4k) = - 115

→ -5 · 3 - 5 · 4k = - 115

→- 20k = - 115 + 15 = - 110

→ k = -\frac{110}{-20}  = \frac{11}{2}

Again when 3 + 4k <0 the equation becomes

-5(-(3+ 4k )) = - 115

→15 + 20k = - 115

→ 20k = - 115 - 15

→ 20k = - 130

⇒ k = -\frac{130}{20} = -\frac{13}{2}

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