Lösung 2.2:6c
Aus Online Mathematik Brückenkurs 1
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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 | ||
+ | {{Displayed math||<math>4x+5y+6=0\qquad\text{and}\qquad x=0\,\textrm{.}</math>}} | ||
- | <math> | + | Substituting <math>x=0</math> into <math>4x+5y+6=0</math> gives |
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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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+ | This gives the point of intersection as <math>\bigl(0,-\tfrac{6}{5}\bigr)</math>. | ||
- | <math>4\centerdot 0+5y+6=0\ \Leftrightarrow \ y=-\frac{6}{5}</math> | ||
- | + | <center>[[Image:2_2_6_c.gif|center]]</center> | |
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- | [[Image:2_2_6_c.gif|center]] | + | |
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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
Substituting \displaystyle x=0 into \displaystyle 4x+5y+6=0 gives
This gives the point of intersection as \displaystyle \bigl(0,-\tfrac{6}{5}\bigr).