Question 259709
1.{{{2H+S=10}}}
2.{{{3H+2S=16.50}}}
From eq.1,
{{{S=10-2H}}}
Substitute into eq. 2 and solve for H.
{{{3H+2S=16.50}}}
{{{3H+2(10-2H)=16.50}}}
{{{3H+20-4H=16.50}}}
{{{-H+20=16.50}}}
{{{-H=-3.50}}}
{{{H=3.50}}}
Then from eq. 1,
{{{S=10-2H}}}
{{{S=10-7}}}
{{{S=3}}}
Hot dogs are $3.50 and sodas are $3.00.