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

Question

Mathematics

Karlie

24 August, 07:49

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

+5

Answers (1)

Know the Answer?

Leonard · 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)