Answer:
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Given is the system of equations.
Solve it by elimination, multiply the first equation by 2 and second equation by - 5, then them add up:
- 10x² + 4y² - 10x² - 25y² = 20 - 50
- - 21y² = - 30
- y² = 30/21
- y² = 10/7
- y = ±
Since it has two real solutions for y, it also has two real solutions for x, so there are two real solutions (intersections).