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Problem 589

Obtain the simultaneous solution set of \(x^{2}+2 y^{2}=54\) \(2 \mathrm{x}-\mathrm{y}=-9\)

Expert verified

The simultaneous solution set of the given system of equations is \(\{(-2, 5), (-6, -3)\}\).

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Chapter 20

Solve graphically $\left\\{\begin{aligned} x^{2}+y^{2} &=13 \\ y &=x^{2}-1 \end{aligned}\right.$

Chapter 20

Use the graphical method to find the simultaneous solution set of \(\mathrm{x}^{2}+\mathrm{x}-2>0\) and \((3 / 4) \mathrm{x}+(3 / 2)<0\)

Chapter 20

Solve the system \(2 x^{2}-3 x y-4 y^{2}+x+y-1=0\) \(2 x-y=3\)

Chapter 20

Solve the system \(x^{2}+y^{2}=10\) \(x+2 y=1\)

Chapter 20

Determine whether or not, the given number pair \((\mathrm{x}, \mathrm{y})\) is a solution of the accompanying system of equations. (a) \((3,-2) ; 2 \mathrm{x}-\mathrm{y}=8\) (b) \((4,-1) ; \sqrt{x}-y=-1\) \(\mathrm{x}^{2}-\mathrm{y}^{3}=17 \quad \mathrm{xy}^{2}=4\)

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