a) x + y = 3 x - y = -1 + 2x=2 x=1 x=1 x+y=3 x=1 y=2 b) x + 2y = 7 4x - y = 1|*2 x+ 2y=7 8x-2y=2 + 9x=9 x=1 x=1 x+2y=7 x=1 y=3 c) x + 3y = 1|*(-2) 2x + 6y = 1 -2x - 6y = -2 2x+6y = 1 + 0=-1 układ sprzeczny d) x - y = 5 2x + y = 4 + 3x=9 x=3 x=3 x-y=5 x=3 y=-2 e) 2x + 3y = 13 x + 2y = 8|*(-2) 2x+3y=13 -2x+2y=8 + 5y=21 y=4,2 x+2y=8 y=4,2 x=-0,4 y=4,2 f) -3x + 5y = -8|*2 2x - 3y = 5|*3 -6x+10y=-16 6x-9y=15 + y=-1 2x-3y=5 y=-1 x=1/2 y=-1
a) x + y = 3 x - y = -1 ------------ 2x=2 /2 x=1 x+y=3 1+y=3 y=3-1 y=2 b) x + 2y = 7 4x - y = 1 /*2 x + 2y = 7 8x-2y=2 -------------- 9x=9 /:9 x=1 x+2y=7 1+2y=7 2y=7-1 2y=6 / :2 y=3 c) x + 3y = 1 /*(-2) 2x + 6y = 1 -2x-6y=-2 2x+6y=1 ----------------- 0=-1 d) x - y = 5 2x + y = 4 ---------------- 3x=9 /:3 x=3 x-y=5 3-y=5 -y=5-3 -y=2 / (-) y=-2 e) 2x + 3y = 13 x + 2y = 8 / *(-2) 2x + 3y = 13 -2x-6y=-16 ------------------------ -3y=-3 / (-3) y=1 x+2y=8 x+2*1=8 x=8-2 x=6 f) -3x + 5y = -8/*3 2x - 3y = 5 /*5 -9x+15y=-24 10x-15y=25 ---------------------- x=1 2x-3y=5 2*1-3y=5 -3y=5-2 -3y=3 / :(-3) y=-1 POZDRAWIAM:)
a) x + y = 3 x - y = -1 2x=2 |:2 x=2 1+y=3 y=3-1 y=2 b) x + 2y = 7 4x - y = 1 |*2 x+2y=7 8x-2y=2 9x=9 |:9 x=1 1+2y=7 2y=6 |:2 y=3 c) x + 3y = 1 |*-2 2x + 6y = 1 -2x-6y=-2 2x + 6y = 1 0=-1 d) x - y = 5 |* -2 2x + y = 4 -2x+2y=-10 2x+y=4 3y=-6 |:3 y=-2 x-2=5 x=7 e) 2x + 3y = 13 x + 2y = 8 2x+3y=13 -2x-4y=-16 -y=-3 |:-1 y=3 2x+9=13 2x=4 x=2 f) -3x + 5y = -8 |*2 2x - 3y = 5 |*3 -6x+10y=-16 6x-9y=15 y=-1 -3x-5=- -3x=-3 x=1
