解:由題意得?$\begin {cases}{y=4 x-5 ①}\\{2(x+1)=5(y-1)②}\end {cases}$?
將①代入②得
?$ 2(x+1)=5[(4 x-5)-1] $?
解得?$ x=\frac {16}{9} $?
將?$ x=\frac {16}{9} $?代入①得?$ y=4 ×\frac {16}{9}-5 $?
解得?$ y=\frac {19}{9} $?
故方程組的解為?$\begin {cases}{x=\frac {16}{9} }\\{y=\frac {19}{9}}\end {cases}$?