Σημείο τομής

Ορίζουσα

Γραμμικό σύστημα

α = 1 (slider from -20 to 50, step 1)
β = -2 (slider from -20 to 50, step 1)
γ = 6 (slider from -20 to 50, step 1)
a: α * x + β * y = γ
α' = 3 (slider from -20 to 50, step 1)
β' = 4 (slider from -20 to 50, step 1)
γ' = 8 (slider from -20 to 50, step 1)
b: α' * x + β' * y = γ'
Α = Intersect(a, b)
κείμενο1: "\begin{array}{} " + (LaTeX[α]) + "x+" + (LaTeX[β]) + "y=" + (LaTeX[γ]) + " \\ " + (LaTeX[α']) + "x+" + (LaTeX[β']) + "y=" + (LaTeX[γ']) + " \end{array} "
κείμενο6: "D=|\begin{array}{} α & β \\ α' & β' \\ \end{array}|=α·β'-α'·β= " + (LaTeX[α * β' - α' * β]) + ""
κείμενο7: "D_{x}=|\begin{array}{} γ & β \\ γ' & β' \\ \end{array}|=" + (LaTeX[γ]) + "·(" + (LaTeX[β']) + ")-(" + (LaTeX[β]) + ")·(" + (LaTeX[γ']) + ")= " + (LaTeX[γ * β' - γ' * β]) + ""
κείμενο8: "D_{y}=|\begin{array}{} α & γ \\ α' & γ' \\ \end{array}|=|\begin{array}{} " + (LaTeX[α]) + " & " + (LaTeX[γ]) + " \\ " + (LaTeX[α']) + " & " + (LaTeX[γ']) + " \\ \end{array}| = " + (LaTeX[α * γ' - α' * γ]) + ""
αβ: α * β
κείμενο2: "" + (α * β' - α' * β) + ""
κείμενο3: "" + (γ * β' - γ' * β) + ""
κείμενο4: "" + (α * γ' - α' * γ) + ""
κείμενο16: "y=\frac{D_{y}}{D}=\frac{" + (LaTeX[κείμενο4]) + "}{" + (LaTeX[κείμενο2]) + "}=" + (LaTeX[(α * γ' - α' * γ) / (α * β' - α' * β)]) + ""
κείμενο5: "χ=\frac{D_{x}}{D}=\frac{" + (LaTeX[κείμενο3]) + "}{" + (LaTeX[κείμενο2]) + "}=" + (LaTeX[(γ * β' - β * γ') / (α * β' - α' * β)]) + ""
e = false
κείμενο17: "Α=(χ,y)=" + Α + ""
f = false
g = true