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X=small bag
y=large bag
5x+3y=260
4x+2y=200
(5x+3y=260)*4 =20x+12y=1040
(4x+2y=200)*5 =20x+10y=1000
subtract two equations: 2y=40
divide: y=20
plug y in 5x+3*20=260
simplify x=40
small bag=$40
large bag=$20
Given function: f(x) = (3x+5)/7
y = f(x) so it's the same as y = (3x+5)/7
Swap every copy of x and y to get x = (3y+5)/7
Solve for y to get....
x = (3y+5)/7
7x = 7*(3y+5)/7
7x = 3y+5
7x-5 = 3y+5-5
7x-5 = 3y
3y = 7x-5
3y/3 = (7x-5)/3
y = (7x-5)/3
So the inverse function is f^(-1)(x) = (7x-5)/3
Answer is choice A
COPYING IS NOT AT ALL GOOD MY BOY ! TRY TO CHANGE THAT HABIT
