Answer :
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.
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.