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2/3x - 0,2y = 3 |*3
1/3x + 0,4y = -1 |*(-6)
2x-0,6y = 9
-2x-2,4y = 6
_____________
-3y = 15 |: (-3)
y = -5
2x-0,6*(-5) = 9
2x+3 = 9
2x = 6 |:2
x = 3
y = -5
b)
0,3x-0,4y = 1,7
0,5x+0,2y = 1,1 |*2
0,3x-0,4y = 1,7
x+0,4y = 2,2
___________
1,3x = 3,9 |: 1,3
x = 3
3+0,4y = 2,2
0,4y = -0,8 |:0,4
y = -2
x = 3
c)
0,05x + 0,04y = -4 | *(-50)
-3x+2y = 20
-2,5x-2y = 200
-3x+2y = 20
____________
-5,5x = 220 | :(-5,5)
x = -40
-3*(-40)+2y = 20
120+2y=20
2y = -100 |:2
y = -50
x = -40
e)
1/3(x+1)-1/2(y-1) = 0
3/4x(x+2)-1/2(y+1) = 1
1/3x+1/3-1/2y+1/2 = 0 |*6
3/4x+6/4-1/2y-1/2 = 1 |*4
2x+2-3y+3 = 0
3x+6-2y-2= 4
2x-3y = -5
3x-2y = 0
2x-3y = -5
2y = 3x |:2
2x-3y = -5
y = 1,5x
2x-3*1,5x = -5
2x-4,5x = -5
-2,5x = -5 |:(-2,5)
x = 2
y = 1,5*2 = 3
f)
x+2 / 2 - y-2 / 4 = 3 |*4
x-2 / 2 - 3y+1 / 7 = 0 |*14
2x+4-y+2 = 12
7x-14-6y-2 = 0
2x-y = 6 |*(-6)
7x-6y = 6
-12x+6y = -36
7x-6y = 6
______________
-5x = -30 |:(-5)
x = 6
2*6-y = 6
12-y = 6
-y = -6 |*(-1)
y = 6
x = 6
g) x+6 / 3 + 3y+1 / 2 = 5 |*6
y+1 / 2 + x+5/8 = 2 |*(16)
2x+12+9y+3 = 30
-8y-8-2x-10 = -32
2x+9y = 15
-2x-8y = 14
__________
y = 1
2x-9 = 15
2x = 6 |: 2
x = 3
y = 1
h)
x+1-y = -2
x - (y+1/5) = 2 | *(-5)
x+1-y = -2
-5x+y+1 = -10
x-y = -3
-5x+y = -11
___________
-4x = -14 |:(-4)
x = -14/4 = 3,5
-3,5-y = -3
-y = -3-3,5
-y = -6,5 |*(-1)
y = 6,5
x= 3,5