Bardzo proszę o rozwiązanie przykładów z Matematyki;) za zadanie daje 70 pkt. Rozwiąż podane układy równań metoda podstawiania. 1){x+y=2 {x-y=1  2){2x+2y=4 {8x-4y=-2 3){3x-12-y+9=-5 {4x-4y-12=6x-3y+21        4){7(2x-3y+2)-(y-3x-2)=-1 {-2(x+y-3)+(2x-

Rozwiązanie znajduje się w załączniku :)

[latex] 1)\\egin{cases} x+y=2 \ x-y=1 end{cases}\\egin{cases} y=-x+2 \ x- (-x+2)=1 end{cases}\\egin{cases} y=-x+2 \ x+x-2 =1 end{cases}\\egin{cases} y=-x+2 \ 2x =1 +2 end{cases} \\egin{cases} y=-x+2 \ 2x =3 end{cases}\\egin{cases} y=- frac{3}{2}+2 \ x = frac{3}{2}end{cases} \\egin{cases} y= frac{1}{2} \ x = frac{3}{2}end{cases} [/latex] [latex]2)\\egin{cases}2x+2y=4 \ 8x-4y=-2 end{cases} \\egin{cases}2x+2y=4 /:2 \ 8x-4y=-2 /:2 end{cases} \\egin{cases} x+y=2 \ 4x-2y=-1 end{cases}\\egin{cases} x =-y+2 \ 4 (-y+2)-2y=-1 end{cases}\\egin{cases} x =-y+2 \ -4y +8-2y=-1 end{cases} \\egin{cases} x =-y+2 \ -6y=-1-8 end{cases}\\egin{cases} x =-y+2 \ -6y=-9 /:(-6) end{cases}\\egin{cases} x =-y+2 \ y= frac{9}{6} end{cases}[/latex] [latex]egin{cases} x =- frac{3}{2}+2 \ y= frac{3}{2} end{cases}\\ egin{cases} x = frac{1}{2} \ y= frac{3}{2} end{cases}[/latex] [latex]3)\\egin{cases}3x-12-y+9=-5\4x-4y-12=6x-3y+21 end{cases}\\egin{cases}y=3x-12 +9+5\4x-4y -6x+3y=21+12 end{cases} \\egin{cases}y=3x+2\-2x- y =33 end{cases} \\egin{cases}y=3x+2\-2x- (3x+2) =33 end{cases} \\egin{cases}y=3x+2\-2x- 3x-2 =33 end{cases} [/latex] [latex] egin{cases}y=3x+2\-5x =33 +2end{cases} \\egin{cases}y=3x+2\-5x =35 /:(-5)end{cases}\\egin{cases}y=3*(-7)+2\ x =-7end{cases}\\egin{cases}y=-19\ x =-7end{cases}[/latex] [latex]4)\\egin{cases}7(2x-3y+2)-(y-3x-2)=-1 \ -2(x+y-3)+(2x-y-3)=3 end{cases} \\egin{cases}14x-21y+14- y+3x+2 =-1 \ -2x-2y+6+ 2x-y-3 =3 end{cases}\\egin{cases}17x-22y+16=-1 \ -3y+3=3 end{cases} \\egin{cases}17x-22y =-1-16 \ -3y =3-3 end{cases}[/latex] [latex] egin{cases}17x-22y =-17\ -3y =0 /:(-3)end{cases}\\egin{cases}17x-22*0 =-17\ y =0 end{cases}\\egin{cases}17x =-17 /:17\ y =0 end{cases}\\egin{cases} x =-1 \ y =0 end{cases}[/latex] [latex]5)\\egin{cases} 2x+3y=17 \ 6x+2y=16 /:2 end{cases} \\egin{cases} 2x+3y=17 \ 3x+ y=8 end{cases} \\ egin{cases} 2x+3 (-3x+8)=17 \ y=-3x+8 end{cases} \\ egin{cases} 2x-9x+24=17 \ y=-3x+8 end{cases} [/latex] [latex] egin{cases} -7x =17-24 \ y=-3x+8 end{cases}\\egin{cases} -7x =-7 /:(-7) \ y=-3x+8 end{cases}\\egin{cases} x =1\ y=-3*1+8 end{cases}\\egin{cases} x =1 \ y=5 end{cases} [/latex]