Question

Rezolvati in multimea Q ecuatiile:
d) 1 4 supra 7 • x + 2 1 supra 2 = x- 1 3 supra 14.

funda!!!
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Answer 1

Salut!

Rezolvati in multimea Q ecuatia:

d)

$1\frac{4}{7}*x+2 \frac{1}{2}=x- 1\frac{3}{14}\\\\\frac{11x}{7}+ \frac{5}{2}=x- \frac{17}{14}\\\\\\\frac{22x}{14}+ \frac{35}{14}= \frac{14x}{14}- \frac{17}{14} |*14\\\\22x+35=14x-17\\\\\\22x-14x=-17-35\\\\\\8x=-52\\\\\\x=-52:8\\\\\\x=-6,5$

Succes!

Answer 2

$\it 1\dfrac{4}{7}x+2\dfrac{1}{2}=x-1\dfrac{3}{14} \Rightarrow \dfrac{11}{7}x+\dfrac{5}{2}=x-\dfrac{17}{14} \Big |_{\cdot14}\Rightarrow22x+35=14x-17\Rightarrow\\ \\ \\ \Rightarrow 22x-14x=-17-35 \Rightarrow 8x=-52|_{:4} \Rightarrow 2x=-13|_{:2} \Rightarrow x=-6,5$