Question

Y-3x=2 x2-2y=3 система уравнений

Answer 1

{y-3x=2
{x²-2y=3

y=2+3x
x²-2(2+3x)=3
x²-4-6x=3
x²-6x-4=3
x²-6x-4-3=0
x²-6x-7=0
D=-6²-4*1(-7)=36-(-28)=64=8
x¹=6-8/2*1=-2/2=-1
x²=6+8/2*1=14/2=7

y-3(-1)=2 -1²-2y=3
y-(-3)=2 1-2y=3
y+3=2 2y=1-3
y=2-3 2y=-2
y=-1 y=-2:2
y=-1

y-3*7=2 7²-2y=3
y-21=2 49-2y=3
y=2+21 2y=49-3
y=23 2y=46
y=46:2
y=23
Ответ: (-1;-1)(7;23)