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a)1/2x +1/2y=1/2
3x+y=-1
b)x+2/3=y-5/-4
3x+2y=6
c)x-2/3+ y+1/2=2
x-3y=2
d)2x-y=4
x-3/4=y-2/5
e) - x+y/2 + 5x-y/3=7x-3y/5
3/y+1=5/x-1
f) y-4=-2x
-1-2(x-2y)=-(x-2)*(2+x)-(3-x)(x+3)
g)2y-(x-3)*(x+3)=-48-(x-5)(5+x)
y+x/2- x-y/4= 0,75
d) 3*[pierwiastek4(x-1/6y)-5dopotegi0]=-2(y-3x)
2*[pierwiastek9(x-y)-2 1/4]=-3(2y-x)
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a)1/2x +1/2y=1/2 /* 2
3x+y=-1
x + y = 1 / * (-3)
3x+y=-1
-3x – 3y = -3
3x + y = -1
--------------
-2y = -4 / : (-2)
y = 2
x + 2 = 1
x = 1 – 2
x = -1
y = 2
b)x+2/3=y-5/-4 /*12
3x+2y=6
12x + 8 = 12y + 15
3x+2y=6 /* -4
12x -12 y = 7
-12x – 8y = -24
------------------------
-20y = - 17
y = 17/20
3x + 2 * 17/20 = 6
3x + 17/10 = 6 /* 10
30x + 17 = 60
30x = 60 – 17
30x = 43
x = 43/30
c)x-2/3+ y+1/2=2 /*6
x-3y=2
6x – 4 + 6y + 3 = 12
x – 3y = 2
6x + 6y = 13
x- 3y = 2 /*2
6x + 6y = 13
2x- 6y = 4
-----------------
8x = 17
x = 17/8
17/8 – 3y = 2 /* 8
17 – 24y = 16
-24y = 16 -17
-24y = -1 /: (-24)
y = 1/24
d)2x-y=4
x-3/4=y-2/5 /* 20
2x-y=4
20x – 15 = 20y – 8
2x-y=4 /* (-10)
20x – 20y = 7
-20x + 10y = -40
20x-20y = 7
--------------------
-10y = -34 / : (-10)
y = 3,4
2x – 3,4 = 4
2x = 4 + 3,4
2x = 7,4 /:2
x = 3,7
e)
-(x+y)/2 +(5x-y)/3 = (7x-3y)/5 /*30
3/y+1= 5/x-1
-15( x+y) + 10(5x –y) = 6(7x – 3y)
3(x-1) = 5(y+1)
-15x – 15 y + 50x – 10y = 42x – 18y
3x – 3 = 5y + 5
-15x – 15 y + 50x – 10y - 42x +18y = 0
3x – 5y = 5+8
-7x – 7y =0
3x – 5y = 13
-7x = 7y /: (-7)
3x – 5y = 13
x = -y
3* (-y) – 5y = 13
x = -y
-8y = -13 /: (-8)
x = -y
y = 13/8
x = -13/8
y = 13/8
f) y-4=-2x
-1-2(x-2y)=-(x-2)*(2+x)-(3-x)(x+3)
y + 2x = 4
-1 -2x + 4y = -( 2x + x² - 4 – 2x) –( 3x + 9 - x² - 3x)
y + 2x = 4
-1 – 2x + 4y = - 2x - x² + 4 + 2x – 3x – 9 + x² + 3x
y + 2x = 4
-2x + 4y = 1 -5
y + 2x = 4
4y -2x = -4
-------------
5y =0
Y=0
0 – 4 = -2x
-2x = -4 /: (-2)
x= 2
g)2y-(x-3)*(x+3)=-48-(x-5)(5+x)
(y+x)/2 - (x-y)/4 =0, 75
2y –( x² - 9) = -48 – ( x² -25)
(y+x)/2- (x-y)/4= 3/4 /* 4
2y - x² +9 = -48 -x² + 25
2(y + x) – (x – y) = 3
2y = -48 + 25 -9
2y+ 2x -x +y = 3
2y = -32 /:2
3y + x = 3
y = -16
3* (-16 ) + x = 3
y= -16
x = 3 + 48
y= -16
x = 51
h) 3*[√4(x-1/6y)-5⁰]=-2(y-3x)
2*[√9(x-y)-2 1/4]=-3(2y-x)
3*[ 2(x-1/6y) – 1] = -2y + 6x
2*[3(x-y) -21/4] = - 6y + 3x
3( 2x – 1/3y -1) = -2y + 6x
2(3x – 3y – 21/4) = -6y + 3x
6x –y – 3 = -2y + 6x
6x – 6y – 10,5 = - 6y + 3x
6x –y + 2y – 6x = 3
6x – 6y + 6y -3x = 10,5
y = 3
3x = 10,5 /: 3
y = 3
x = 3,5