Question 859412


Call the first part x and the second y.
{{{x + y = 22}}}
And
The first part of the trip is 6 miles less than the second part.
{{{x = y - 6}}}


Now substitute {{{y-6}}} in the place of x in the first equation and solve for y.
{{{(y-6)+y = 22}}}
{{{2y - 6 = 22}}}
{{{2y = 28}}}
{{{y = 14}}}


Plug this value in the place of any equation to solve for x.
{{{x = y - 6}}}
{{{x = 14 - 6}}}
{{{x = 8}}}


The first part of her commute is 8 miles long and the second 14.