- - 194
.:
: +=
.
(0,0) , 0+0=.
:
6-=3.
6-=3 =6-3. .
.
0 0,5
-3 0
2
2
- - 195
.:
6-=3 ,
,
(, 6-3).
:
.
:
1 + 1 = 1
2 + 2 = 2
( ,)
.
: (3 , -2)
.
+ = 1
4 -5 = 22
: 3 2 = 1 , 43 5(-2) =22
:
o
o
2 2
- - 196
.:
.
,
+ =
:
( , ) .
.
( 0 , 1 ).
- - 197
.:
.
.
.
.
.
.
- - 198
.:
1 :
. (
. 4
...).
,
. .
, .
1. 12
x
x
+ =+ =+ =+ =
+ =+ =+ =+ =
- - 199
.:
.
(3 , 2). x = 3 , y = 2.
.
1
x 0 3
y 4 1
2
x 0 2
y 0 2
2. 2 82 4 2
x
x
+ =+ =+ =+ =
= = = =
3. 4xx
+ =+ =+ =+ =
====
- - 200
.:
(2 , 2).
.
1
x -4 0 1
y 0 3
15
4
x = 1
yy xx (-1 , 0).
4. 3 4 121
x
x
+ = + = + = + =
= = = =
- - 201
.:
(-1 , 94
).
: -3x + 4y = 12 -3(-1) + 494
= 12 12 = 12
x = -1 -1 = -1
.
2 :
( )
1. 2
2
x
x
====
====
- - 202
.:
. (0 , 0 ) , (2 , 4 ) .
- - 203
.:
1. : 2 23 ( 2) (5 3 ) 3 + + = + + .
2. :
1 + =
2 2 =
3. :
2 1 1
5 2 2 =
41
5 = +
4 5 3 0 + =
41
5 =
4.
:
- - 204
.:
:
:
.
.
:
:
+ 2 = 3
4 -5 = -1
: + 2 = 3 = 3 2 (1)
4( 3 2 ) 5 = -1
12 8 5 = -1 -8 5 = -1 12 -13 = -13 = 1
= 1 (1) = 3 2 = 3-21 = 1
=1 , =1 .
- - 205
.:
1 : x 1
: x + 3y = -2 x = -3y 2 ( 1 )
2 : ( 1 ) , x
3y 2 . :
-2x 5y = 2 -2 (-3y 2) 5y = 2 ( 2 )
3 : ( 2 ) , y.
y . :
-2 (-3y 2) 5y = 2 6y + 4 5y = 2 y = 2 4 y = -2
4 : y
= -2 x . :
x + 3y = -2 x + 3 (-2) = -2 x 6 = -2 x = 4
, (4 , -2).
1 : 1 .
,
y.
: 6x + 2y = -3 2y = -3 6x 6 32
xy
= ( 1 )
1. 2 5 23 2
x y
x y
= = = =
+ = + = + = + =
2. 3 4 116 2 3
x y
x y
= = = =
+ = + = + = + =
- - 206
.:
2 3 : ( 1 ) .
:
3x 4y = 11 6 33 4 112
xx
= 3x 2 (-6x 3) = 11 3x + 12x + 6 = 11
15x = 11 6 15x = 5 5 115 3
x = =
4 : 13
x = :
6x + 2y = -3 16 2 33
y + = 2 + 2y = -3 2y = -5 52
y =
, 1 5,3 2
.
x. :
2x 3y = 7 2x = 3y + 7 3 72
yx
+= ( 1 )
( 1 ) :
-4x + 6y = -4 3 74 6 42
yy
+ + = -2 (3y + 7) + 6y = -4 -6y 14 + 6y = -4
-6y + 6y = 14 4 0 y = 10
.
.
3. 2 3 74 6 4
x y
x y
= = = =
+ = + = + = + =
- - 207
.:
y , :
-5x + 2y = 3 2y = 5x + 3 5 32
xy
+= ( 1 )
( 1 ) :
10x 4y = -6 5 310 4 62
xx
+ = 10x 2 (5x + 3) = -6 10x 10x 6 = -6
0 x = 0
x , .
x ( 1 )
y. (x , y) ().
: -
.
.
.
:
:
+ 2 = 3
4 -5 = -1
4. 5 2 310 4 6
x y
x y
+ = + = + = + =
= = = =
- - 208
.:
.
.
4.
+ 2 = 3 (-4) -4 + -8 = -12
4 -5 = -1 4 -5 = -1
: -4 + -8 + 4 -5 = -12 1
-13 = -13 = 1.
= 1 .
4 -5 = -1 4 51 = -1 4 = 5 1 4 = 4 = 1.
=1 , =1 .
i)
3 2 :
32
2 5 1
3 7 13
x y
x y
+ =
+ = 6 15 3
6 24 26
x y
x y
+ = + =
1.
:
i) 2 5 13 7 13
x y
x y
+ =+ =+ =+ = + = + = + = + =
, ii) 3 2 255 45
x
x
+ = + = + = + =
+ =+ =+ =+ =
- - 209
.:
29y = 29 ,
y = 1.
1 y = 1 2x + 5 = 1 2x = -4
x = -2 .
(x , y) = (-2 , 1).
ii)
5 3 :
53 3 2 25
5 45
x
x
+ =
+ = 15 10 125
15 3 135
x
x
+ =
+ =
, :
-15x + 10 + 15x + 3 = 125 + 135 10 + 3 = 260 13 = 260
= 20.
5x + = 45 = 20 , 5x + 20 = 45
5x = 45 20 x = 5.
(5 , 20).
( )2 2 22 = + , :
( ) ( )
( ) ( )
2 2
2 2 2
4 2 3 2 1
5 2 1 2 3
x y x
x y y y
=
+ = +
( ) ( )( ) ( )
2 2
2 2 2
4 4 4 3 4 4 1
5 4 4 2 1 2 3
x x y x x
x y y y y y
+ = +
+ + = + +
2. (((( )))) (((( ))))(((( )))) (((( ))))
2 2
2 2 2
4 2 3 2 1
5 2 1 2 3
x y x
x y y y
= = = =
+ = + + = + + = + + = +
- - 210
.:
2 2
2 2 2
4 16 16 3 4 4 1
5 4 4 2 1 2 3
x x y x x
x y y y y y
+ = +
= + +
2 2
2 2 2
4 16 3 4 4 16 1
5 4 2 2 4 1 3
x x y x x
x y y y y y
+ = +
+ + = + + ( )
12 3 151
5 2 8
x y
x y
=
=
.
12 3 15 ( 2)
5 2 8 ( 3)
x y
x y
= +
=
24 6 30
15 6 24
x y
x y
=
+ =
:
-2x 6y + 15x + 6y = -30 24 -9x = -54 x = 6
( 1 ) x = 6 :
-5x 2y = 8 -5 6 2y = 8 2y = -38 y = -19
(6 , -19).
.
, x 0 y 0.
.
, 1 ax= 1
y= , :
+ = 5
= 1
.
3.
1 15
1 11
x y
x y
+ =+ =+ =+ = = = = =
- - 211
.:
, 2 = 6 = 3.
3 + = 5 = 5 3 = 2.
:
1 3x= 1 2
y=
( )
13
x = 12
y =
( ) 1 1, ,3 2
x y =
.
. ,
x2 = y2 = 0 0 , :
+ = 13
= 5
:
2 = 13 + 5 2 = 18 = 9
+ = 13 = 13 9 = 4. :
x2 = 9 y2 = 4
:
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