Question 685293
A 25-foot-long board is to be cut into two parts. 

let the longer part be {{{x}}} and the shorter part {{{y}}}

The longer part {{{x}}} is {{{1ft}}} more than twice the shorter part {{{y}}};

so,  

{{{x=2y+1ft}}}........eq. 1

 {{{x+y=25ft}}}........eq. 2
______________________________solve this system


{{{x+y=25}}}........eq. 2...plug in {{{x}}} from eq. 1

{{{2y+1ft+y=25ft}}}........solve for {{{y}}}

{{{3y=25ft-1ft}}}

{{{3y=24ft}}}

{{{y=24ft/3}}}

{{{y=8ft}}}...........the shorter part 

now find {{{x}}}

{{{x=2y+1ft}}}........eq. 1.......plug in {{{y}}} 

{{{x=2*8ft+1ft}}}

{{{x=16ft+1ft}}}

{{{x=17ft}}}.......the longer part