Lösung 2.2:6c

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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).