Question Find $x$ and $y$ given $y=2x+3$ and $x^2-y+2k=0$ where $k\neq0$ . a) Show $x^2-2x+(2k-3)=0$ . b) Use the discriminant to find $k$ . c) Solve the equations for this $k$ .

Studdy Solution
Calculate the value of $y$ .
$y=5$ So, for $k=2$ , the solutions to the simultaneous equations are $x=$ and $y=5$ .

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