Answer:
1 hot dog costs $2.75 and 1 veggie burger costs $4.25.
Explanation:
Let 1 french fries be x, 1 hot dog be y and 1 veggie burger be z.
4y+3z+7x= 36 (1)
6y+2z+8x= 39 (2)
When x= 1.75, find y and z.
From (1):
3z+4y+12.25= 36
4y+3z= 23.75 (3)
From (2):
6y+2z+14= 39
6y+2z= 25
2z= -6y+25
z= -3y+12.5 (4)
sub (4) into (3):
4y+3(-3y+12.5)= 23.75
4y-9y+37.5= 23.75
-5y= -13.75
y= 2.75 (5)
sub (5) into (4):
z= -3(2.75)+12.5
= 4.25