Answer to Question #139310 in Algebra for noxolo sokhela

Question

Solve each proportion
1.13/49=26/7x
2. b+1/b-1=5/6
3. b-1/b-1=5/6

Answer 1

$1. \frac{13}{49} = \frac{26}{7x}\\ \textsf{Dividing both sides by} \frac{13}{7},\\ \frac{1}{7} = \frac{2}{x}\\ x = 14\\ 2. \frac{b + 1}{b - 1} = \frac{5}{6}\\ \textsf{Multiplying both sides by 6(b-1)},\\ 6b + 6 = 5b -5\\ 6b - 5b = -5-6\\ b = -11\\ 3.\frac{b-1}{b+1} = \frac{5}{6}\\ \textsf{Multiplying both sides by 6(b+1)}\\ 6b-6 = 5b+5\\ 6b-5b = 5+6\\ b=11$