Question

2x+5=5y+6,3(2x+y)=24-x

Answer 1

Hii friend,

2X + 5 = 5Y

2X -5Y = -5-----------(1)

And,



3(2X + Y) = 24-X

6X + 3Y = 24-X

6X + X + 3Y = 24

7X + 3Y = 24-------------(2)


From equation (1) we get,

2X - 5Y = -5

2X = -5+5Y

X = -5+5Y/2--------------(3)

Putting the value of X in equation (2)

7X + 3Y = 24

7 × (-5+5Y/2) + 3Y = 24

-35 + 35Y /2 + 3Y = 24


-35+35Y + 6Y = 24 × 2


41Y -35 = 48

41Y = 48+35

41Y = 83


Y = 83/41


Putting the value of Y in equation (3)

X = -5+5Y/2 = -5 + 83/41/2 = -205 + 83/41/2


X = -122/41/2 => -122/41 × 1/2 = -61/41



HOPE IT WILL HELP YOU..... :-)