★★★[br]Carina hat die Lösung der Gleichung 5 · x — 8 = 12 mit x = 3 falsch berechnet. [br]Zeige durch die Probe, dass Carinas Lösung falsch ist und ermittle die richtige Lösung der Gleichung.
[br]x = 3 wird in die Gleichung eingesetzt. [br][br]5 · 3 — 8 = 12[br]15 — 8 = 12[br]7 = 12 ⚡️[br][br]Da auf den beiden Seiten der Gleichung unterschiedliche Zahlen stehen, ist die Lösung x = 3 falsch. [br][br]Richtig ist: [br][br][img]data:image/png;base64,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[/img][br][br]Also kann die Probe folgendermaßen durchgeführt werden: [br][br]5 · 4 - 8 = 12[br]20 - 8 = 12 [br]12 = 12 ✓