Question

(2x-y) / (2x+4y) = 1/4, then (4x-5y) / (5x+2y) = ?

Answer 1

Step-by-step explanation:

Given (2x-y)/(2x+4y)= 1/4

2x-y = 1 ---(1)

2x+4y = 4 ----(2)

(1)-(2) => 2x-y-2x-4y = 1-4

-5x= -3

x = 3/5

substituting x= 3/5 in equation (1)

2(3/5)-y = 1

6/5 - y = 1

y = (6/5)-1

y = 1/5

(4x-5y)/(5x+2y) = (4(3/5)-5(1/5))/(5(3/5)+2(1/5))

= ((12/5) - 1)/(3+(2/5))

= (7/5)/(17/5)

= (7/5)×(5/17)

= 7/17

(4x-5y)/(5x+2y) = 7/17