Question

if 2x+3y=30 and (x+y)/y=11/8 then find the value of 5y+6x

Answer 1

1+(x/y)=11/8
x/y=3/8
8x=3y
2x+3y=30
2x+8x=30
x=3
y=8

Answer 2

Answer: 5y+6x = 58

Step-by-step explanation:

Given 2x + 3y = 30.........(i)

And (x+y)/y=11/8

8x + 8y = 11y

8x - 3y = 0..........(ii)

Adding equation (i) and equation (ii)

2x + 3y + 8x - 3y = 30 + 0

10x = 30

x = 3

After putting value of x in equation (ii)

3y = 8 × 3

∴ y = 8

∴value of 5y + 6x = (5 × 8) + (6 × 3) = 40 + 18 = 58.