Question 669261
let {{{x}}} be the number of the games a baseball team won and {{{y}}} be the number of the games a baseball team lost

if a baseball team lost {{{5}}} more games then it won, then we have

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


if a baseball team played {{{109}}} games, then we have {{{x+y=109}}}....eq.2

solve the system:

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

{{{x+y=109}}}....eq.2
__________________________

{{{y-5=x}}}.........eq. 1...substitute in eq. 2


{{{y-5+y=109}}}....eq.2...solve for {{{y}}}


{{{2y=109+5}}}

{{{2y=114}}}

{{{y=114/2}}}

{{{highlight(y=57)}}}

now go back in eq. 1 and calculate {{{x}}}

{{{52-5=x}}}.........eq. 1

{{{highlight(x=52)}}}

so, a baseball team won {{{highlight(x=52)}}} games and lost {{{highlight(y=57)}}} games