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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.

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

yy=3x+5=0.(x-axis) 

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

0=3x+5i.e.x=35.

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