rozwiąż układ równań metodą podstawiania.
5x-y=11
7x-3y=1
x-y=2
4x+2y=9
-y=11-5x
y=-11+5x
7x-3(-11+5x)=1
7x-33-15x=1
-8x=-32
x=4
y=-11+20
y=9
-------------------------------------------------------
x-y=24x+2y=9x=2+y4(2+y)+2y=9x=2+y8+4y+2y=9x=2+y6y=1x=2+yy=1/6x=2 1/6y=1/6
a)5x-y=117x-3y=1-y = 11 - 5x /:(-1)7x-3y=1y = -11 + 5x7x -3(-11 + 5x) = 1y = -11 + 5x7x+33-15x = 1y = -11 + 5x-8x = -32 /:(-8)y = -11 + 5xx = 4y = -11 + 5*4x = 4x = 4y = 9b)x-y=24x+2y=9x = 2 + y4(2 + y) + 2y = 9x = 2 + y8 + 4y + 2y = 9x = 2 + y6y = 1 /:6x = 2 + yy = 1/6x = 2 + 1/6 = 2/1 + 1/6 = 12/6 + 1/6 = 13/6y = 1/6x = 13/6y = 1/6
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5x-y=11
7x-3y=1
-y=11-5x
7x-3y=1
y=-11+5x
7x-3(-11+5x)=1
y=-11+5x
7x-33-15x=1
y=-11+5x
-8x=-32
y=-11+5x
x=4
y=-11+20
x=4
y=9
x=4
-------------------------------------------------------
x-y=2
4x+2y=9
x=2+y
4(2+y)+2y=9
x=2+y
8+4y+2y=9
x=2+y
6y=1
x=2+y
y=1/6
x=2 1/6
y=1/6
a)
5x-y=11
7x-3y=1
-y = 11 - 5x /:(-1)
7x-3y=1
y = -11 + 5x
7x -3(-11 + 5x) = 1
y = -11 + 5x
7x+33-15x = 1
y = -11 + 5x
-8x = -32 /:(-8)
y = -11 + 5x
x = 4
y = -11 + 5*4
x = 4
x = 4
y = 9
b)
x-y=2
4x+2y=9
x = 2 + y
4(2 + y) + 2y = 9
x = 2 + y
8 + 4y + 2y = 9
x = 2 + y
6y = 1 /:6
x = 2 + y
y = 1/6
x = 2 + 1/6 = 2/1 + 1/6 = 12/6 + 1/6 = 13/6
y = 1/6
x = 13/6
y = 1/6