Math  /  Algebra

Question13 Finde den Fehler! a) Zeige durch Einsetzen eines Werts für x oder mithilfe einer Probe, dass die Rechnungen falsch sein müssen. b) Erkläre, was falsch gemacht wurde, und korrigiere im Heft.  (1) 4x(x+2)=4xx+2=3x+2\text { (1) } \begin{aligned} & 4 x-(x+2) \\ = & 4 x-x+2 \\ = & 3 x+2 \end{aligned} (2) 5x+3=025 x+3=0 \quad \mid-2 7x=01:77 x=0 \quad 1: 7 (3) 4x+2=2x22x=42x=6\begin{array}{c} 4 x+2=2 x-2 \\ 2 x=-4 \quad \mid-2 \\ x=-6 \end{array}  (4) 25x+15=0,352x+15=0,15152x=0,05:2x=0,25\text { (4) } \begin{aligned} \frac{2}{5} x+\frac{1}{5} & =0,3 \quad \mid \cdot 5 \\ 2 x+\frac{1}{5} & =0,15 \quad \left\lvert\,-\frac{1}{5}\right. \\ 2 x & =-0,05 \quad \mid: 2 \\ x & =-0,25 \end{aligned}

Studdy Solution
Korrigiere Gleichung (4):
25x+15=0.352x+1=1.512x=0.5:2x=0.25\frac{2}{5}x + \frac{1}{5} = 0.3 \quad \mid \cdot 5 \quad \Rightarrow \quad 2x + 1 = 1.5 \quad \mid -1 \quad \Rightarrow \quad 2x = 0.5 \quad \mid :2 \quad \Rightarrow \quad x = 0.25

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