Simultaneous Equations: Solve y - 2x = 3 and x^2 + y^2 = 18

Question

Mathematics

Kale Burton

23 June, 07:41

Simultaneous Equations: Solve y - 2x = 3 and x^2 + y^2 = 18

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Answers (1)

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Kamora · Answer 1

Y - 2x = 3

x^2 + y^2 = 18

y = 3 + 2x

x^2 + (3 + 2x) ^2 = 18

x^2 + (3 + 2x) (3 + 2x) = 18

x^2 + 9 + 12x + 4x^2 = 18

5x^2 + 12x + 9 = 18

5x^2 + 12x - 9 = 0

5x2 - 3x + 15x - 9

(x + 3) (5x - 3) = 0

X = - 3, 3/5

y = 3 + 2x

y = 3 + 2 (-3) y = 3 + 2 (3/5)

y = - 3 y = 4.2

(x, y) = (-3,-3), (0.6,4.2)