a

b

c

a'

b'

c'

Soustava rovnic nemá řešení.
a∩b=∅ ⇒ a∥b

a:

b:

Soustava má nekonečně mnoho řešení
přímky mají nekonečně mnoho společných bodů
a=b

Rovnice přímek zadávejte pomocí posuvníku nebo vstupním polem v rámečku.(potvrdit entrem)

a = 1 (slider from -10 to 10, step 1)
b = 4 (slider from -10 to 10, step 1)
c = 5 (slider from -10 to 10, step 1)
a' = 7 (slider from -10 to 10, step 1)
c' = 4 (slider from -10 to 10, step 1)
b' = -3 (slider from -10 to 10, step 1)
d: a * x + b * y + c = 0
e: a' * x + b' * y + c' = 0
pole1 = Textfield(a)
pole2 = Textfield(b)
pole3 = Textfield(c)
pole4 = Textfield(a')
pole5 = Textfield(b')
pole6 = Textfield(c')
A = Intersect(d, e)
g: a' * x + b' * y + c' = 0
h: x(A)
k: y(A)
text13: "A[" + h + "," + k + "]"
j: (-a) / b
i: (-c) / b
text17: "$ " + (LaTeX[a]) + "x" + (LaTeX[c]) + "=0 $"
text19: "0x+0y" + (LaTeX[c]) + "=0\quad \quad \quad \quad přímka \quad  neexistuje"
l: c / (-a)
text20: "$ 0x+0y+" + (LaTeX[c]) + "=0 \quad \quad přímka \quad neexistuje$"
text8: "$ " + (LaTeX[a']) + "x+" + (LaTeX[b']) + "y" + (LaTeX[c']) + "=0 \quad \quad přímka \quad neexistuje"
text24: "" + (LaTeX[a']) + "x" + (LaTeX[b']) + "y=0 \quad \quad \quad " + (LaTeX[g]) + ""
text25: "" + (LaTeX[a']) + "x+" + (LaTeX[b']) + "y=0 \quad \quad \quad " + (LaTeX[g]) + ""
text10: "Řešením \quad soustavy \quad rovnic \\ je \quad 
 uspořádaná \quad dvojice \quad [" + (LaTeX[h]) + "," + (LaTeX[k]) + "]\\ \\ a∩b=\left\lbrace\left [" + (LaTeX[h]) + "," + (LaTeX[k]) + "  \right ]   \right\rbrace \\a,b\quad  jsou\quad různoběžné"
text28: "" + (LaTeX[a']) + "x" + (LaTeX[c']) + "=0\quad " + (LaTeX[e]) + ""
text31: "" + (LaTeX[a']) + "x+" + (LaTeX[c']) + "=0 \quad " + (LaTeX[e]) + ""
text23: "$ 0x+0y+" + (LaTeX[c']) + "=0 \quad \quad přímka \quad neexistuje $"
text32: "" + (LaTeX[a']) + "x+" + (LaTeX[b']) + "y+" + (LaTeX[c']) + "=0 \quad " + (LaTeX[e]) + ""
text1: "" + (LaTeX[a]) + "x+" + (LaTeX[b]) + "y+" + (LaTeX[c]) + "=0 \quad " + (LaTeX[d]) + ""
text26: "" + (LaTeX[a']) + "x=0 \quad  " + (LaTeX[g]) + ""
text14: "2x=0\quad " + (LaTeX[d]) + ""
text16: "$" + (LaTeX[a]) + "x+" + (LaTeX[c]) + "=0 \quad " + (LaTeX[d]) + ""
text3: "" + (LaTeX[a]) + "x+" + (LaTeX[b]) + "y" + (LaTeX[c]) + "=0\quad " + (LaTeX[d]) + ""
text4: "" + (LaTeX[a]) + "x" + (LaTeX[b]) + "y+" + (LaTeX[c]) + "=0\quad " + (LaTeX[d]) + ""
text6: "" + (LaTeX[a]) + "x" + (LaTeX[b]) + "y" + (LaTeX[c]) + "=0 \quad " + (LaTeX[d]) + ""
text5: "" + (LaTeX[a']) + "x" + (LaTeX[b']) + "y" + (LaTeX[c']) + "=0 \quad   " + (LaTeX[g]) + ""
text7: "" + (LaTeX[a']) + "x" + (LaTeX[b']) + "y+" + (LaTeX[c']) + "=0 \quad  " + (LaTeX[g]) + ""
text15: "" + (LaTeX[a']) + "x+" + (LaTeX[b']) + "y" + (LaTeX[c']) + "=0\quad   " + (LaTeX[g]) + ""
text2: "" + (LaTeX[a']) + "x+" + (LaTeX[b']) + "y+" + (LaTeX[c']) + "=0 \quad  " + (LaTeX[g]) + ""