Question 1153846


On a mother's 23-mile commute to work, she drops her daughter off at a child care center. 
{{{23mil}}}

The first part of the trip{{{x}}}  is  {{{5}}} miles less than the second {{{y}}} part.

{{{x=y-5mi}}}.......eq.1

total of her trip:

{{{x+y=23mi}}}.......eq.2

substitute {{{x}}} from eq.1 in eq.2

{{{y-5mi+y=23mi}}}.......eq.2

{{{2y=23mi+5mi}}}

{{{2y=28mi}}}

{{{y=14mi}}}

go to

{{{x=y-5mi}}}.......eq.1, plug in {{{y}}}

{{{x=14mi-5mi}}}

{{{x=9mi}}}


 How long is each part of her morning commute?

first part is {{{9mi}}}
second part is {{{14mi}}}