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Question 1 of 5Solve each Non-Linear System of Equations
$$y=x^2+5x+6$$$$y=-3x-9$$
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A
$$\{(-2,0),(-6,5)\}$$
B
$$\{(-3,0),(-5,6)\}$$
C
$$\left\{(-3,2),\left(\frac{3}{4},-2\right)\right\}$$
D
$$\{(-2,3),(6,5)\}$$
E
$$\left\{\left(-\frac{1}{2},0\right),(-3,1)\right\}$$
Question 2 of 5Solve each Non-Linear System of Equations
$$5x^2-17x=y-6$$$$5x+y=15$$
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A
$$\left\{(3,0),\left(-\frac{3}{5},18\right)\right\}$$
B
$$\left\{(5,-1),\left(-\frac{1}{5},12\right)\right\}$$
C
$$\left\{(13,-10),\left(-\frac{4}{3},22\right)\right\}$$
D
$$\{(-2,1),(4,-5)\}$$
E
$$\{(-7,-1),(-4,-6)\}$$
Question 3 of 5Solve each Non-Linear System of Equations
$$2x^2=-2y^2+162$$$$\frac{x^2}{81}-\frac{y^2}{4}=1$$
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A
$$\{(-9,0),(9,0)\}$$
B
$$\{(0,-9),(0,9)\}$$
C
$$\{(-9,-3)\}$$
D
No Solution
E
$$\left\{\left(-\frac{1}{9},7\right),(-3,2)\right\}$$
Question 4 of 5Solve each Non-Linear System of Equations
$$x^2+xy+y^2=15$$$$x^2+y^2=10$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
$$\{(5,-5),(3,5)\}$$
B
$$\left\{\left(2i,\sqrt{5}\right),(-2i,-\sqrt{5})\right\}$$
C
$$\{(-\sqrt{5},-\sqrt{5}),(\sqrt{5},\sqrt{5})\}$$
D
$$\{(-\sqrt{3},-\sqrt{5}),(5,3)\}$$
E
$$\left\{\left(-\frac{6}{\sqrt{5}},5\right),(-2,-5)\right\}$$
Question 5 of 5Solve each Non-Linear System of Equations
$$6x^2+4xy-2y^2=18$$$$x^2-xy+y^2=9$$
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Select the Correct Answer Below: Correct! Cool Emoji Not Correct! Thinking Emoji
A
No Solution
B
$$\left\{(-\sqrt{3},-2\sqrt{3}),\left(\frac{6}{\sqrt{7}},-\frac{3}{\sqrt{7}}\right),\left(-\frac{6}{\sqrt{7}},\frac{3}{\sqrt{7}}\right),(\sqrt{3},2\sqrt{3})\right\}$$ $$\{(-\sqrt{3},-2\sqrt{3}),\left(\frac{6}{\sqrt{7}},-\frac{3}{\sqrt{7}}\right),$$$$\left(-\frac{6}{\sqrt{7}},\frac{3}{\sqrt{7}}\right),(\sqrt{3},2\sqrt{3})\}$$ $$\{(-\sqrt{3},-2\sqrt{3}),$$$$\left(\frac{6}{\sqrt{7}},-\frac{3}{\sqrt{7}}\right),$$$$\left(-\frac{6}{\sqrt{7}},\frac{3}{\sqrt{7}}\right),$$$$(\sqrt{3},2\sqrt{3})\}$$
C
$$\left\{(-\sqrt{5},-5),(\sqrt{3},2\sqrt{7}),\left(-\frac{6}{7},\frac{5}{\sqrt{7}}\right),(5i,-3i)\right\}$$ $$\{(-\sqrt{5},-5),(\sqrt{3},2\sqrt{7}),$$$$\left(-\frac{6}{7},\frac{5}{\sqrt{7}}\right),(5i,-3i)\}$$ $$\{(-\sqrt{5},-5),$$$$(\sqrt{3},2\sqrt{7}),$$$$\left(-\frac{6}{7},\frac{5}{\sqrt{7}}\right),$$$$(5i,-3i)\}$$
D
$$\left\{(-\sqrt{3},-1),\left(\frac{6}{\sqrt{7}},-\frac{3}{\sqrt{7}}\right),\left(-\frac{1}{7},\frac{4i}{\sqrt{5}}\right),(\sqrt{3},2\sqrt{7})\right\}$$ $$\{(-\sqrt{3},-1),\left(\frac{6}{\sqrt{7}},-\frac{3}{\sqrt{7}}\right),$$$$\left(-\frac{1}{7},\frac{4i}{\sqrt{5}}\right),(\sqrt{3},2\sqrt{7})\}$$ $$\{(-\sqrt{3},-1),$$$$\left(\frac{6}{\sqrt{7}},-\frac{3}{\sqrt{7}}\right),$$$$\left(-\frac{1}{7},\frac{4i}{\sqrt{5}}\right),$$$$(\sqrt{3},2\sqrt{7})\}$$
E
$$\left\{(-2i,3i),(5,-5),(-1,\sqrt{3}),(i,-i\sqrt{5})\right\}$$ $$\left\{(-2i,3i),(5,-5),(-1,\sqrt{3}),(i,-i\sqrt{5})\right\}$$ $$\{(-2i,3i),(5,-5),$$$$(-1,\sqrt{3}),(i,-i\sqrt{5})\}$$

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