[tex] \frac{5a-2b}{2a+b} [/tex] = [tex] \frac{1}{4} [/tex]
4(5a-2b) = 1(2a+b)
20a - 8b = 2a+b
20a - 2a = b+8b
18a = 9b
[tex] \frac{a}{b} [/tex] = [tex] \frac{9}{18} [/tex]
[tex] \frac{a}{b} [/tex] = [tex] \frac{1}{2} [/tex]
a) a/3 = b/2 = k
a/3 = k, a = 3k
b/2 = k, b = 2k
3a-b / a+b = 3*3k - 2k / 3k+2k =
9k-2k / 5k =
7k/5k
