Solve each system by elimination.

y=2x^2+x-1

x-2y=6

Y = 2x² + x - 1

x - 2y = 6

x - 2 (2x² + x - 1) = 6

x - 4x² - 2x + 2 = 6

x - 2x - 4x² + 2 = 6

-x - 4x² + 2 = 6

-x - 4x² - 4 = 0

-4x² - x - 4 = 0

x = - (-1) + / - √ ((-1) ² - 4 (-1) (-4))

2 (-4)

x = 1 + / - √ (1 - 16)

-8

x = 1 + / - √ (-15)

-8

x = 1 + / - i√ (15)

-8

x = 1 + i√ (15) x = 1 - i√ (15)

-8 - 8

x = - 0.125 - i√ (15) x = - 0.125 + i√ (15)

y = 2x² + x - 1

y = 2 (-0.125 - i√ (15)) ² + (-0.125 - i√ (15)) - 1

y = 2 (0.015625 + 2i√ (15) + 15) - 0.125 - i√ (15) - 1

y = 0.03125 + 4i√ (15) + 30 - 0.125 - i√ (15) - 1

y = 0.03125 + 30 - 0.125 - 1 + 4i√ (15) - i√ (15)

y = 29.1875 + 3i√ (15)

(x, y) = (-0.125 - i√ (15), 29.1875 + 3i√ (15))

or

y = 2x² + x - 1

y = 2 (-0.125 + i√ (15)) + (-0.125 + i√ (15) - 1

y = 2 (0.015625 - 2i√ (15) - 15) - 0.125 + i√ (15) - 1

y = 0.3125 - 4i√ (15) - 30 - 0.125 + i√ (15) - 1

y = 0.3125 - 30 - 0.125 - 1 - 4i√ (15) + i√ (15)

y = - 30.8125 - 3i√ (15)

(x, y) = (-0.125 + i√ (15), - 30.8125 - 3i√ (15))