rozwiąż podane układy równań dowolną metodą algebraiczną a)x+2y=11 5x-3y=3 b)4x+y=0 -2x-2y=3 c)4x-3y=-3 -2x+[latex] frac{1}{2} [/latex]y=[latex] frac{5}{6} [/latex]

Witaj. a) [latex] left { {{x+2y=11} atop {5x-3y=3}} ight. \\ left { {{-5x-10y=-55} atop {5x-3y=3}} ight. \+------\\-13y=-52\y=4\\ left { {{x=11-2cdot4} atop {y=4}} ight. \\ left { {{x=3} atop {y=4}} ight. [/latex] b) [latex] left { {{4x+y=0} atop {-2x-2y=3}} ight. \\ left { {{4x+y=0} atop {-4x-4y=6}} ight. \+-----\\-3y=6\y=-2\\ left { {{4x=2} atop {y=-2}} ight. \\ left { {{x=frac{1}{2}} atop {y=-2}} ight. [/latex] c) [latex] left { {{4x-3y=-3} atop {-2x+frac{1}{2}y=frac{5}{6}}} ight. \\ left { {{12x-9y=-9} atop {-12x+3y=5}} ight. \+-----\\-6y=-4\y=frac{2}{3}\\ left { {{x=frac{3cdotfrac{2}{3}-3}{4}} atop {y=frac{2}{3}}} ight. \\ left { {{x=-frac{1}{4}} atop {y=frac{2}{3}}} ight.[/latex]