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a)
(2x-y+3)/3 - (x-2y+3)/4 = 4 /*12
(3x-4y+3)/4 + (4x-2y-9)/3 = 4 /*12
4(2x-y+3) - 3(x-2y+3) = 48
3(3x-4y+3) + 4(4x-2y-9) = 48
8x -8y +12 -3x +6y – 9 =48
9x -12y +9 +16x -8y -36 = 48
5x -2y =48 -3
-20y +25x = 48 +27
5x -2y =45 /*(-5)
-20y +25x = 75
10y -25x = -225
------------------- dodajemy stronami
-10 y = -150 /: (-10)
y = 15
5x -2y =45
5x -2*15 =45
5x = 45-30
5x = 15 /:5
x=3
y=15
b)
1-0,3(y-2) = (x+1)/5 /*10
(y-3)/4 = (4x+9)/20 -1,5 /*20
10-3(y-2) = 2(x+1)
5(y-3) = (4x+9) -30
10 – 3y+6=2x+2
5y -15 = 4x +9-30
-3y -2x = 2 -16
5y -4x = -21 +15
-3y -2x = -14 /*(-2)
5y -4x = -6
6y+4x = 28
-----------------
11y = 22 / :11
y =2
5y -4x =-6
5*2 -4x = -6
-4x = -6 -10
-4x = -16 /: (-4)
x = 4
y = 2
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a)
(2x-y+3)/3 - (x-2y+3)/4 = 4 /*12
(3x-4y+3)/4 + (4x-2y-9)/3 = 4 /*12
4(2x-y+3) - 3(x-2y+3) = 48
3(3x-4y+3) + 4(4x-2y-9) = 48
8x -8y +12 -3x +6y – 9 =48
9x -12y +9 +16x -8y -36 = 48
5x -2y =48 -3
-20y +25x = 48 +27
5x -2y =45 /*(-5)
-20y +25x = 75
10y -25x = -225
-20y +25x = 75
------------------- dodajemy stronami
-10 y = -150 /: (-10)
y = 15
5x -2y =45
5x -2*15 =45
5x = 45-30
5x = 15 /:5
x=3
y=15
b)
1-0,3(y-2) = (x+1)/5 /*10
(y-3)/4 = (4x+9)/20 -1,5 /*20
10-3(y-2) = 2(x+1)
5(y-3) = (4x+9) -30
10 – 3y+6=2x+2
5y -15 = 4x +9-30
-3y -2x = 2 -16
5y -4x = -21 +15
-3y -2x = -14 /*(-2)
5y -4x = -6
6y+4x = 28
5y -4x = -6
-----------------
11y = 22 / :11
y =2
5y -4x =-6
5*2 -4x = -6
-4x = -6 -10
-4x = -16 /: (-4)
x = 4
y = 2