[tex]\displaystyle \left \{ {{2|x+1|+3y=7} \atop {3x-2|y-3|=-1}} \right.\\ \\\left \{ {{2|x+1|+3y=7} \atop {x=-\frac{1}{3}+\frac{2}{3}|y-3| }} \right.\\ \\2|-\frac{1}{3}+\frac{2}{3}|y-3|+1|=3y=7\\ \\y=1\\ \\x=-\frac{1}{3}+\frac{2}{3}|1-3|\\ \\x=1\\ (x,y)=(1,1)[/tex]
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[tex]\displaystyle \left \{ {{2|x+1|+3y=7} \atop {3x-2|y-3|=-1}} \right.\\ \\\left \{ {{2|x+1|+3y=7} \atop {x=-\frac{1}{3}+\frac{2}{3}|y-3| }} \right.\\ \\2|-\frac{1}{3}+\frac{2}{3}|y-3|+1|=3y=7\\ \\y=1\\ \\x=-\frac{1}{3}+\frac{2}{3}|1-3|\\ \\x=1\\ (x,y)=(1,1)[/tex]