Question

Solve the simultaneous equations x2 + y2 = 10 and x – 3y + 10 = 0.

Answer 1

Answer:

x = - 1, y = 3  or     (-1 , 3)

Step-by-step explanation:

x – 3y + 10 = 0              x = 3y - 10    ... plug in

x² + y² = 10

(3y-10)² + y² = 10

10y² - 60y +90 = 0

y² - 6y + 9 = 0

(y - 3)² = 0

y = 3

x = - 1