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vladimir2022 [97]
3 years ago
13

Make k the subject for 3t = 7k/13 - 17 and 7k = 4k/3t - 11t

Mathematics
1 answer:
Lina20 [59]3 years ago
3 0
A)

3t = 7k/13  - 17

3t + 17 = 7k/13

13*(3t + 17) = 7k

7k =  13*(3t + 17)

7k = 39t + 221

k = (39t + 221) / 7

b)

7k = 4k/3t -  11t

11t = 4k/3t - 7k              LCM = 3t

11t =  (4k - 21kt) / 3t

11t*3t = (4k - 21kt)

33t² = k(4 - 21t)

33t² /(4 - 21t)  = k

k =  33t² /(4 - 21t)

I hope this helps.
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<em>Additional comment</em>

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3 years ago
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3 years ago
JK=2X KL=X+2 and JK=5X-10
elixir [45]

JK + KL = JL

JK = 2x, KL = x + 2, JL = 5x - 10

therefore we heve the equation:

2x + (x + 2) = 5x - 10

3x + 2 = 5x - 10 |-2

3x = 5x - 12 |-5x

-2x = -12 |:(-2)

x = 6

JK = 2x → JK = 2(6) = 12

KL = x + 2 → KL = 6 + 2 = 8

JL = 5x - 10 → JL = 5(6) - 10 = 30 - 10 = 20

Check:

JK + KL = JL

12 + 8 = 20 CORRECT :)

5 0
3 years ago
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