# What are the coordinates of these points of intersection?

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### 1 Answer

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- MichaelLv 71 month ago
y²/9 - x² = 1

Add x² to both sides

y²/9 = 1 + x²

Subtract 1 from both sides

y²/9 - 1 = x²

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x² + y² = 9

Substitute for x²

y²/9 - 1 + y² = 9

Add 1 to both sides

y²/9 + y² = 10

Multiply both sides by 9

y² + 9y² = 90

10y² = 90

Divide both sides by 10

y² = 9

Take the square root of both sides

y = ±3

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x² + y² = 9

For y = +3

x² + (3)² = 9

x² - 9 = 9

x² = 0

x = 0

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For y = -3

x² + (-3)² = 9

x² + 9 = 9

x² = 0

x = 0

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Solutions

(0, -3) and (0, 3) <–––––––––

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