X-y=1[latex] frac{x}{2} + frac{y}{4} = frac{2x-y}{3} [/latex]

[latex]left { {{x-y=1} atop {frac{x}{2}+ frac{y}{4}= frac{2x-y}{3}}} ight. [/latex]умножим второе уравнение на 12 для избавления от дробей:[latex]left { {{x-y=1} atop {6x+3y= 4(2x-y)} ight. \left { {{x-y=1} atop {6x+3y=8x-4y} ight. \ left { {{x-y=1} atop {6x-8x+3y+4y=0} ight. \ left { {{x-y=1} atop {-2x+7y=0} ight. \ left { {{x=1+y} atop {-2(1+y)+7y=0} ight. \ -2(1+y)+7y=0 \ -2-2y+7y=0 \ 5y=2 \ y= frac{2}{5} \ left { {{y=0.4 } atop {x=1+y=1+0.4=1.4}} ight. \ (1.4;0.4)[/latex]