Lösung 2.2:6c

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The point of intersection is that point which satisfies the equations of both lines
The point of intersection is that point which satisfies the equations of both lines
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{{Displayed math||<math>4x+5y+6=0\qquad\text{and}\qquad x=0\,\textrm{.}</math>}}
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<math>4x+5y+6=0</math>
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Substituting <math>x=0</math> into <math>4x+5y+6=0</math> gives
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and
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<math>x=0</math>.
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Substituting
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{{Displayed math||<math>4\cdot 0+5y+6=0\quad\Leftrightarrow\quad y=-\frac{6}{5}\,\textrm{.}</math>}}
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<math>4x+5y+6=0</math>
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into
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<math>x=0</math>
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gives
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This gives the point of intersection as <math>\bigl(0,-\tfrac{6}{5}\bigr)</math>.
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<math>4\centerdot 0+5y+6=0\ \Leftrightarrow \ y=-\frac{6}{5}</math>
 
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<center>[[Image:2_2_6_c.gif|center]]</center>
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This gives the point of intersection as
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<math>\left( 0 \right.,\left. -\frac{6}{5} \right)</math>.
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{{NAVCONTENT_START}}
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[[Image:2_2_6_c.gif|center]]
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{{NAVCONTENT_STOP}}
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Version vom 13:10, 24. Sep. 2008

The point of intersection is that point which satisfies the equations of both lines

Vorlage:Displayed math

Substituting \displaystyle x=0 into \displaystyle 4x+5y+6=0 gives

Vorlage:Displayed math

This gives the point of intersection as \displaystyle \bigl(0,-\tfrac{6}{5}\bigr).