Simplify first
[tex]\\ \rm\Rrightarrow x^2+\dfrac{7}{3}x-\dfrac{17}{3}=3[/tex]
[tex]\\ \rm\Rrightarrow 3x^2+7x-17=9[/tex]
[tex]\\ \rm\Rrightarrow 3x^2+7x-26=0\dots(1)[/tex]
And
[tex]\\ \rm\Rrightarrow x^2+\dfrac{7}{3}x+\dfrac{49}{36}-\dfrac{49}{36}-\dfrac{7}{3}=0[/tex]
[tex]\\ \rm\Rrightarrow 3x^2+7x-7=0\dots (2)[/tex]
Both the equations have equal rate of change or slope
Hence they have no intersection point