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Please help me with this problem to better understandHow many real solutions does the system have?{y=−3x−3y=x^2−3x+5 Enter your answer in the box.

Please help me with this problem to better understandHow many real solutions does-example-1

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\begin{gathered} y=-3x-3 \\ y=x^2-3x+5 \\ To\text{ find the solution} \\ x^2-3x+5=-3x-3 \\ x^2-3x+5+3x+3=0 \\ x^2+8=0 \\ x^2=-8 \\ The\text{ system doesnt have real solutions} \\ \end{gathered}

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