[tex]\text{Hello there!}\\\\\text{Turn the text into equations:}\\\\3c+2s=14\\\\4c+3s=19.50\\\\\text{Lets make "c" the same. Do this by multiplying by 4 and -3 to make them}\\\text{the same}\\\\4(3c+2s=14) \\ \\ = 12c+8s=56\\\\-3(4c+3s=19.50)\\\\=-12c-9s=-58.50\\\\\text{Solve for s:}\\\\12c+8s=56\\\\-12c-9s=-58.50\\\\-s=-2.50\\\\\boxed{\text{Soda = \$2.50}}[/tex]
[tex]\text{Plug in 2.50 to s}\\\\12c+8(2.50)=56\\\\12c+20=56\\\\\text{Subtract 20 from both sides}\\\\12c=36\\\\\text{Divide by 12 for both sides}\\\\\boxed{\text{Candy = \$3}}[/tex]
