5у - Х = 4
Х^2 + 3у^2 = 4
Решение
Х = 5у - 4
( 5у - 4 )^2 + 3у^2 = 4
25у^2 - 40у + 16 + 3у^2 - 4 = 0
28у^2 - 40у + 12 = 0
4( 7у^2 - 10у + 3 ) = 0
D = 100 - 84 = 16 = 4^2
y1 = ( 10 + 4 ) : 14 = 1
y2 = ( 10 - 4 ) : 14 = 3/7
X1 = 5•1 - 4 = 1
X2 = 5•( 3/7 ) - 4 = 15/7 - 4 = 2 1/7 - 3 7/7 = - 1 6/7
Ответ ( 1 ; 1 ) ; ( - 1 6/7 ; 3/7 )