[tex]a)\\\\ 2x-3y = 1 \\\\ -3y=-2x+1\ \ |:(-3) \\\\ y=\frac{2}{3}x-\frac{1}{3} \\\\ b) \\\\\frac{x}{4}-\frac{y}{6}=\frac{5}{12}\ \ |*12\\\\3x -2y=5\\\\-2y=-3x+5\ \ |:(-2)\\\\y=\frac{3}{2}x-\frac{5}{2}[/tex]
[tex]c)\\\\y-\frac{x-y}{3}=7\ \ |*3\\\\3y-(x-y)=21\\\\3y-x+y=21\\\\4y-x=21\\\\4y=x+21\ \ |:4\\\\y=\frac{1}{4}x+\frac{21}{4}[/tex]
[tex]d)\\\\\frac{x+y}{2} -\frac{x-y}{3}=4\ \ |*6\\\\3(x+y)-2(x-y)=24\\\\3x+3y-2x+2y=24\\\\x+5y=24\\\\5y=-x+24\ \ |:5\\\\y=-\frac{1}{5}x+\frac{24}{5}[/tex]
