Question

Даю 70 баллов Выразите в уравнениях y через х и х через y
x–y=–2
–2x+y=5
3x+y=8
–2x–3y=9
5x–3y=14

Answer 1

Ответ:

a) x-y=-2

х = -2 +у

у = 2+х

в)3x+y=8

у = 8-3х

х = (8-у)/3

б)-2x+y=5

у = 5 +2х

х =-(5+у)/2

г)-2x-3y=9

х =(9 +3у)/-2

у =(9+2х)/-3

д) 5x-3y=14

х=(14+3у)/5

у =(14-5х) /-3

Answer 2

$\displaystyle\bf\\1)\\\\x-y=-2\\\\\boxed{x=y-2} \ \ \ , \ \ \ \boxed{y=x+2}\\\\\\2)\\\\-2x+y=5\\\\2x=y-5\\\\\boxed{x=0,5y-2,5} \ \ \ ; \ \ \ \boxed{y=2x+5}\\\\\\3)\\\\3x+y=8\\\\3x=8-y\\\\\boxed{x=2\frac{2}{3} -\frac{1}{3} y} \ \ \ ; \ \ \ \boxed{y=-3x+8}\\\\\\4)\\\\-2x-3y=9\\\\2x=-3y-9\\\\\boxed{x=-1,5y-4,5}\\\\3y=-2x-9\\\\\boxed{y=-\frac{2}{3} x-3}\\\\\\5)\\\\5x-3y=14\\\\5x=3y+14$

$\displaystyle\bf\\\boxed{x=0,6y+2,8}\\\\3y=5x-14\\\\\boxed{y=1\frac{2}{3} x-4\frac{2}{3} }$