Question 125212
Let {{{f}}} = price of one front row ticket
Let {{{t}}} = price of one lawn ticket
{{{f = 2t - 4}}}
{{{2f + 5t = 100}}}
multiply the 1st equation by -2 and add to the 2nd
{{{-2f = -4t + 8}}}
{{{2f = -5t + 100}}}
{{{0 = -9t + 108}}}
Add {{{9t}}} to both sides
{{{9t = 108}}}
{{{t = 12}}}
{{{f = 2t - 4}}}
{{{f = 2*12 - 4}}}
{{{f = 20}}}
The cost of a front row ticket is $20
The cost of a lawn ticket is $12
check:
{{{2f + 5t = 100}}}
{{{2*20 + 5*12 = 100}}}
{{{40 + 60 = 100}}}
{{{100 = 100}}}
OK