Question 1090185
1.{{{57*t[1]+79*t[2]=566}}}
2.{{{t[1]+t[2]=8}}}
Multiply 2 by 57 and subtract from 1,
{{{57t[1]+79t[2]-57t[1]-57t[2]=566-456}}}
{{{22t[2]=110}}}
Take it from there and solve for {{{t[2]}}}. 
Then use either equation to solve for {{{t[1]}}}.