3. Яка із пар чисел с розв'язком системи(х - Зу = 82х + 4y = 30а) (13:1)б) (1; 13)в) (26, 2)​

А)-3х=-2        б)7х+5=4х-5         в)4(3х-2)=5х+9        г)х-5(3х-5)=-10х+2
   х=-2/-3          7х-4х=-5-5           12х-8=5х+9            х-15х+25=-10х+2
   х=2/3            3х=-10                 12х-5х=9+8            х-15х+10х=2-25
                        х=-10/3                7х=17                   -4х=-23
                        х=-3 1/3               х=17/7                  х=-23/-4
                                                   х=2 3/7                 х=5 3/4
д)5(0,4х-0,6)-0,3х=1,7х-3
2х-0,6-0,3х=1,7х-3
2х-0,3х-1,7х=-3+0,6
ответ:Нет решения

Применим формулу сокращённого умножения:

a² - b² = (a - b)·(a + b).

1) 9·x²-4·y²-3·x+2·y = (3·x)²-(2·y)²-(3·x-2·y) = (3·x-2·y)·(3·x+2·y) - (3·x-2·y) =

= (3·x-2·y)·(3·x+2·y-1);

2) 81 - (3-8·y)²  = 9² - (3-8·y)²  = (9-(3-8·y))·(9+(3-8·y)) = (9-3+8·y)·(9+3-8·y) =

= (6+8·y)·(12-8·y) = 2·(3+4·y)·4·(3-2·y) = 8·(3+4·y)·(3-2·y);

3) 36-(y+1)² = 6²-(y+1)² = (6-(y+1))·(6+(y+1)) = (6-y-1)·(6+y+1) = (5-y)·(7+y);

4) (4-5·x)²-64 = (4-5·x)²-8² = (4-5·x-8)·(4-5·x+8) = (-4-5·x)·(12-5·x) =

= -(4+5·x)·(12-5·x) = (4+5·x)·(5·x-12).