Question 394289

if your weekly salary {{{x}}} is ${{{40}}} less than {{{twice}}} your colleague's salary {{{y}}}, you can write it as:


{{{x - 40 = 2y}}}........(1)


 If together your salaries total ${{{2060}}}, you can write it as:


{{{x + y = 2060}}}........(2)


to find out what is your salary, solve this system:


{{{x - 40 = 2y}}}........(1)


{{{x + y = 2060}}}........(2)
----------------------------------


{{{x - 40 = 2y}}}........(1).solve for {{{x}}}


{{{x = 2y - 40}}}........(1)......substitute in (2)




{{{2y - 40 + y = 2060}}}........(2)...solve for {{{y}}}


{{{3y = 2060 + 40}}}


{{{3y = 2100 }}}


{{{y = 2100/3 }}}


{{{y = 700 }}}.....now find {{{x}}}


{{{x = 2y - 40}}}


{{{x = 2(700) - 40}}}


{{{x = 1400 - 40}}}


{{{x = 1360}}}........your salary