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# Alg2 lesson 8-7

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### Alg2 lesson 8-7

1. 1. Solve the system of equations:x + 2y = 5y = 3x – 1x + 2(3x – 1) = 5 y = 3x – 1x + 6x – 2 = 5 y = 3(1) – 17x = 7 y=2x=1 (1, 2)
2. 2. Solve the system of equations:x + 2y = 5y = 3x - 1 (1,2)
3. 3. circle and parabola 0 intersections
4. 4. circle and parabola 1 intersection
5. 5. circle and parabola 2 intersections
6. 6. circle and parabola 3 intersections
7. 7. circle and parabola 4 intersections
8. 8. 2 circles 0 intersections
9. 9. 2 circles 1 intersection
10. 10. 2 circles 2 intersections
11. 11. circle and ellipse 0 intersections
12. 12. circle and ellipse 1 intersection
13. 13. circle and ellipse 2 intersections
14. 14. circle and ellipse 3 intersections
15. 15. circle and ellipse 4 intersections
16. 16. Solve the system of equations. hyperbola line 4(4 – 8y + 4y2) – 16y2 = 2516 – 32y + 16y2 – 16y2 = 25
17. 17. Solve the system of equations. circle y2 = 10 – x2ellipse if x = 3: 3x2 + 10 – x2 = 28 y2 =10 – (3)2 y2 = 1 2x2 = 18 y= 1 x2 = 9 if x = -3: x = 3 y2 =10 – (-3)2 y2 = 1 y= 1Answer: (3, 1), (3, –1) , (–3, 1), and (–3, –1)
18. 18. Answer: (3, 1), (3, –1) , (–3, 1), and (–3, –1)