Question | Answer |
2x = 6 | x = 6/2 = 3 |
2x – 3 = 6 + x | 2x–x = 6+3 x = 9 |
2·(2x – 3) = 6 + x | 4x–6 = 6+x 4x–x = 6+6 3x = 12 x = 12/3 = 4 |
\[\frac{x-1}{6}-\frac{x-3}{2}=-1\] | x–1 – 3·(x–3) = –1·6 x–1–3x+9 = –6 –2x = –6+1–9 –2x = –14 x = –14/–2 = 7 |
\[\frac{x-1}{4}-\frac{x-5}{6}=\frac{x+4}{9}\] | m.c.m. (4,6,9) = 36 (x–1)·9–(x–5)·6 = (x+4)·4 9x–9–6x+30 = 4x+16 9x–6x–4x = 16+9–30 –x = –5 ... ... x = 5 |
\[\frac{9-3x}{x-3}=x\] | 9–3x = x·(x–3) 9–3x = x²–3x 9 = x² \[\sqrt{9}=x=3\] |
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