Question 108323


During part of football, 
{{{the- local- team= x}}} has counted {{{6- point- less -than -the -other- team = y}}}, and we can write it:

1. {{{x = y - 6}}}

  
Both teams have counted {{{a -total- of- 66 -points}}}, and we write it:

2. {{{x + y = 66}}}
 
What is the number of points scored by each team?


start with equation {{{2.}}}:

{{{x + y = 66}}}... substitute equation {{{1.}}} into equation {{{2.}}}, and we will have:

{{{y - 6 + y = 66}}}

{{{2y - 6 = 66}}}.... move {{{-6}}} to the right

{{{2y = 66 + 6}}}

{{{2y = 72}}}....divide both sides by {{{2}}}

{{{(2/2)y = 72/2}}}

{{{y = 36}}}

So, the number of points scored by each team is:

{{{the -other- team}}} scored {{{36}}} points, and 

{{{the- local- team}}} scored {{{36 - 6 = 30}}} points

check {{{a -total}}}

{{{a -total}}} is {{{36 + 30 = 66}}}