Processing Math: Done
Solution 2.2:6a
From Förberedande kurs i matematik 1
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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. |
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- | [[Image:2_2_6_a.gif|center]] | + | If the point of intersection has coordinates (''x'',''y''), then |
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+ | {{Displayed math|| | ||
+ | <math>\left\{\begin{align} y&=3x+5\,,\\ y&=0\,\textrm{.}\qquad\quad\text{(x-axis)}\end{align}\right.</math>}} | ||
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+ | If we substitute <math>y=0</math> into the first equation, we obtain | ||
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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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+ | The point of intersection is (-5/3,0). | ||
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+ | <center>[[Image:2_2_6_a.gif|center]]</center> |
Current revision
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
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If we substitute
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The point of intersection is (-5/3,0).