I. Способ подстановки.
1) 4x - 3y = -1
x - 5y = 4 x = 5y + 4 подставляем в 1-е ур-ние
4*(5у+4) - 3у = -1
20у + 16 - 3у = -1
17у = -17
у = -1
Подставляем значение у во 20-е ур-ние:
х - 5(-1) = 4
х + 5 = 4
х = -1
2) x + 2y = -2 x = -2- 2y
3x - y = 8
3*(-2-2y) - y = 8
-6 -6y - y = 8
-7y = 14
y = -2
x = -2- 2y
x = -2 -2(-2) = -2+4 = 2
3) x - y = 3 x = 3 + y
3x + 4y = 2
3(3+y) +4y = 2
9 + 3y + 4y = 2
7y = -7
y = -1
x = 3 + y
x = 3 + (-1) = 2
II. Способ сложения
1) 4x - 3y = -1
x - 5y = 4 *-4
-4x + 20y = -16
4x - 3y = -1
-4x + 20y = -16
4x - 3y -4x + 20y = -1 + (-16)
17y = - 17
y = -1
x - 5y = 4
x - 5*(-1) = 4
x +5 = 4
x = -1
2) x + 2y = -2
3x - y = 8 *2
x + 2y = -2
6x - 2y = 16
x + 2y + 6x - 2y = -2 + 16
7x = 14
x = 2
x + 2y = -2
2 + 2y = -2
2y = -4
y = -2
3) x - y = 3 *4
3x + 4y = 2
4x - 4y = 12
3x + 4y + 4x - 4y = 2 + 12
7x = 14
x = 2
2 - y = 3
-y = 1
y = -1