Answer:
hamburger =282 calories
soda=212 calories
Explanation:
2h+5c=1624 ...............×3
3h+2c=1270 ................×2
use eliminate method: multiply the first equation by 3, and second one by 2 to eliminate h first:
6h+15c= 4872
6h+4c=2540
subtract the two equations
6h+15c-6h-4c=4872-2540
11c=2332
c=2332/11
c=212 calories in soda
substitute c in any equation to get h
2h+5c=1624
2h+5(212)=1624
2h=1624-1060
2h=564
h=564/2=282
h=282 calories
check :
2(282)+5(212)=
564+1060=1624
3h+2c=1270
3(282)+2(212)=1270