Rozwiąż algebraicznie układ równań:
a)
{3x-4y=-1
{2x+y=3
b)
{2x-3y=5
{x-y=1
{2x+y=3/*4
{8x+4y=12
{11x=11/:11
{x=1
{x-y=1/*(-3)
{-3x+3y=-3
{-1x=2/:(-1)
{x=-2
Licze na naj :D
{3x-4y = -1
{2x+y = 3 => y = 3-2x
3x-4(3-2x) = -1
3x-12+8x = -1 |+12
11x = 11
x = 1
y = 3-2*1 = 1
{x = 1
{y = 1
{2x-3y = 5
{x-y = 1 => x = y+1
2(y+1)-3y = 5
2y+2-3y = 5
-y = 3 => y = -3
x = -3+1 = -2
{x = -2
{y = -3
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a)
{3x-4y=-1
{2x+y=3/*4
{3x-4y=-1
{8x+4y=12
{11x=11/:11
{x=1
b)
{2x-3y=5
{x-y=1/*(-3)
{2x-3y=5
{-3x+3y=-3
{-1x=2/:(-1)
{x=-2
Licze na naj :D
a)
{3x-4y = -1
{2x+y = 3 => y = 3-2x
3x-4(3-2x) = -1
3x-12+8x = -1 |+12
11x = 11
x = 1
y = 3-2*1 = 1
{x = 1
{y = 1
b)
{2x-3y = 5
{x-y = 1 => x = y+1
2(y+1)-3y = 5
2y+2-3y = 5
-y = 3 => y = -3
x = -3+1 = -2
{x = -2
{y = -3