Question

solve 60 by x + 240 by y=4 and 100by x + 200 by y =25 by 6 find the value of x and y​

Answer 1

Answer:

x = 60 & y = 80

Step-by-step explanation:

=> 60/x + 240/y = 4 ------ ( 1 )

=> 60y + 240x = 4xy -------- ( 2 )

=> 100/x + 200/y = 25/6 ------- ( 3 )

=> 100y + 200x = 25/6 xy

=> 600y + 1200x = 25 xy ------- ( 4 )

=> multiply equ. (2) by 10 & subtract from equ. (4)

=> 600y + 2400x = 40xy

600y + 1200x = 25xy

- ___________________

=> 1200x = 15xy

=> 1200x/15x = y

=> 80 = y

=> putting value of y in equ. (2)

=> 60y + 240x = 4xy

=> 60 * 80 + 240x = 4 * 80 * x

=> 4800 + 240x = 320x

=> 4800 = 320x - 240x

=> 4800 = 80x

=> 4800/80 = x

=> 60 = x