Lösung 2.2:6a

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According to the definition, the point of intersection between two lines is that point which lies on both lines; it must therefore satisfy the equations of both lines.
According to the definition, the point of intersection between two lines is that point which lies on both lines; it must therefore satisfy the equations of both lines.
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If the point of intersection has coordinates
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If the point of intersection has coordinates (''x'',''y''), then
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<math>\left( x \right.,\left. y \right)</math>, then
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<math>y=3x+5</math>
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{{Displayed math||
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<math>\left\{\begin{align} y&=3x+5\,,\\ y&=0\,\textrm{.}\qquad\quad\text{(x-axis)}\end{align}\right.</math>}}
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and
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If we substitute <math>y=0</math> into the first equation, we obtain
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<math>y=0</math>
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{{Displayed math||<math>0=3x+5,\qquad\text{i.e.}\quad x=-\frac{5}{3}\,\textrm{.}</math>}}
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(
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<math>x</math>
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-axis)
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If we substitute
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The point of intersection is (-5/3,0).
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<math>y=0</math>
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into the first equation, we obtain
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<math>0=3x+5</math>
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<center>[[Image:2_2_6_a.gif|center]]</center>
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i.e.
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<math>x=-\frac{5}{3}</math>
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The point of intersection is
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<math>\left( -\frac{5}{3} \right.,\left. 0 \right)</math>.
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{{NAVCONTENT_START}}
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[[Image:2_2_6_a.gif|center]]
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{{NAVCONTENT_STOP}}
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Version vom 13:00, 24. Sep. 2008

According to the definition, the point of intersection between two lines is that point which lies on both lines; it must therefore satisfy the equations of both lines.

If the point of intersection has coordinates (x,y), then

Vorlage:Displayed math

If we substitute \displaystyle y=0 into the first equation, we obtain

Vorlage:Displayed math

The point of intersection is (-5/3,0).


Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_2.2:6a“