Lösbarkeit - Übung

Aufgabe 1
Bestimme die Lösung des linearen Gleichungssystems ([math]x,y\in\mathbb{Q}[/math]).[br][br] y = [math]-\frac{1}{2}[/math]x + 3[br][math]\wedge[/math] y = [math]\frac{3}{4}[/math]x – 2
Aufgabe 2
Bestimme die Lösung des linearen Gleichungssystems ([math]x,y\in\mathbb{Q}[/math]).[br][br] y = –0,4x + 3[br][math]\wedge[/math] 2y = 1,2x – 4
Aufgabe 3
Bestimme die Lösung des linearen Gleichungssystems ([math]x,y\in\mathbb{Q}[/math]).[br][br] y = 1,2x – 7[br][math]\wedge[/math] y = 1,2x + 1
Aufgabe 4
Bestimme die Lösung des linearen Gleichungssystems ([math]x,y\in\mathbb{Q}[/math]).[br][br] y = –0,5x + 4[br][math]\wedge[/math] y + 0,5x = 4
Aufgabe 5
Gib das passende lineare Gleichungssystem und seine Lösung an ([math]x,y\in\mathbb{Q}[/math]).[br][br][img]data:image/png;base64,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[/img]
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