Question

How do you solve x² + y² = 20 and x + y = 6?

Answer 1

★Heya★

( x + y )² = 36

=>

x² + y² = 36 - 2xy

=>

-2xy = -16

=>

xy = 8

=>

x² - 6x + 8 = 0

=>

x² - 4x - 2x + 8 = 0

=>

x ( x - 4 ) -2 ( x - 4 ) = 0

=>

x = 4

OR

.x = 2

For x = 4 y = 2

For x = 2 y = 4