Question

X²-3xy+2y²=0
y=2x+3
Tentukan Himpunan Dan Uraikan

Answer 1

Substitusi y = 2x + 3
x² - 3x(2x + 3) + 2(2x + 3)² = 0
x² - 6x² - 9x + 8x² + 24x + 18 = 0
3x² + 15x + 18 = 0
x² + 5x + 6 = 0
(x + 2)(x + 3) = 0
x = - 2 ⇒ y = 2(-2) + 3 = - 1
x = - 3 ⇒ y = 2(-3) + 3 = - 3
Himpunan penyelesaian: {(- 2, - 1) , (- 3 , - 3)}