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Concept

${2x−y=3x_{2}+y−3x=9 $

Similar to a system of linear equations, the solutions to a linear-quadratic system are the values that satisfy both equations simultaneously. For instance, in the given example $x=4$ and $y=5$ are solutions. This can be verified by substituting these values into each equation. $2x−y=3$ | $x_{2}+y−3x=9$ |
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$2(4)−5=3$ | $4_{2}+5−3(4)=9$ |

$8−5=3$ | $16+5−12=9$ |

$3=3✓$ | $9=9✓$ |

A linear-quadratic system can be solved both algebraically and graphically. Since this system includes a quadratic equation, it is a nonlinear system.

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