Step-by-step explanation:
x : y = 5 : 6
[tex] \therefore[/tex]let x = 5k & y = 6k
We need to find: 5x-2y:6x+2y
[tex] \therefore \: \frac{5x - 2y}{6x + 2y} \\ \\ = \frac{5 \times 5k - 2 \times 6k}{6 \times 5k + 2 \times 6k} \\ \\ = \frac{25k - 12 k}{30k + 12k} \\ \\ = \frac{13 k}{42k} \\ \\ =\frac{13 }{42} \\ \\ = 13 : 42 \\ \\ \purple{ \boxed{\therefore \: (5x - 2y) :({6x + 2y}) = 13 : 42}}[/tex]
