Aus Online Mathematik Brückenkurs 1

Version vom 13:19, 23. Sep. 2008 (bearbeiten) Tek (Diskussion | Beiträge) K ← Zum vorherigen Versionsunterschied		Version vom 08:26, 22. Okt. 2008 (bearbeiten) (rückgängig) Tekbot (Diskussion | Beiträge) K (Robot: Automated text replacement (-{{Displayed math +{{Abgesetzte Formel)) Zum nächsten Versionsunterschied →
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	Because there is an ''x'' on both the left- and right-hand sides, the first step is to subtract ''x''/3 from both sides,		Because there is an ''x'' on both the left- and right-hand sides, the first step is to subtract ''x''/3 from both sides,
-	{{Displayed math||<math>\tfrac{1}{3}x-1-\tfrac{1}{3}x=x-\tfrac{1}{3}x</math>}}	+	{{Abgesetzte Formel||<math>\tfrac{1}{3}x-1-\tfrac{1}{3}x=x-\tfrac{1}{3}x</math>}}
	so as to collect ''x'' on the right-hand side		so as to collect ''x'' on the right-hand side
-	{{Displayed math||<math>-1=\tfrac{2}{3}x\,\textrm{.}</math>}}	+	{{Abgesetzte Formel||<math>-1=\tfrac{2}{3}x\,\textrm{.}</math>}}
	Then, multiply both sides by 3/2,		Then, multiply both sides by 3/2,
-	{{Displayed math||<math>\tfrac{3}{2}\cdot (-1) = \tfrac{3}{2}\cdot\tfrac{2}{3}x\,,</math>}}	+	{{Abgesetzte Formel||<math>\tfrac{3}{2}\cdot (-1) = \tfrac{3}{2}\cdot\tfrac{2}{3}x\,,</math>}}
	so that 2/3 can be eliminated on the right-hand side to give us		so that 2/3 can be eliminated on the right-hand side to give us
-	{{Displayed math||<math>-\tfrac{3}{2}=x\,\textrm{.}</math>}}	+	{{Abgesetzte Formel||<math>-\tfrac{3}{2}=x\,\textrm{.}</math>}}

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Version vom 08:26, 22. Okt. 2008

Because there is an x on both the left- and right-hand sides, the first step is to subtract x/3 from both sides,

\displaystyle \tfrac{1}{3}x-1-\tfrac{1}{3}x=x-\tfrac{1}{3}x

so as to collect x on the right-hand side

\displaystyle -1=\tfrac{2}{3}x\,\textrm{.}

Then, multiply both sides by 3/2,

\displaystyle \tfrac{3}{2}\cdot (-1) = \tfrac{3}{2}\cdot\tfrac{2}{3}x\,,

so that 2/3 can be eliminated on the right-hand side to give us

\displaystyle -\tfrac{3}{2}=x\,\textrm{.}