Z. 11 a) x/3 + 1 = 5/6 + x/2 /*6 x/3 * 6 + 1 * 6 = 5/6 * 6 + x/2 * 6 2x + 6 = 5 + 3x 2x - 3x = 5 - 6 -x = -1 / :(-1) x = 1 b) (2x-3) : 4 = 1/2 + x /*4 4 * (2x-3) :4 = 1/2 * 4 + x * 4 2x - 3 = 2+ 4x 2x - 4x= 2+3 -2x = 5 /:(-2) x = -2,5 c) (x+2) : 9 + (x-1) :3 = 1 /*9 x + 2 + (x-1) *3 = 9 x + 2 + 3x -3 = 9 x+ 3x = 9-2+3 4x = 10 /:4 x= 2,5 d) (2x + 3) :5 = (2-x) :3 + x /*15 6x + 9 = 10 - 5x +15x 6x+5x-15x = 10-9 -4x = 1 /:(-4) x= - 0,25 e)(3x-5) :2 - (5x -1):10 = 0 /*10 15x - 25 - 5x +1 = 0 15x - 5x = 0 +25 -1 10x = 24 /:10 x = 2,4 f) x/2 = 2/5(4-x) -4 /*10 5x = 4(4-x) -40 5x = 16-4x-40 5x+4x = 16-40 9x = -24 /:9 x= -2 2/3 g) (2x-1) :5 - (x-2):2 = 0,7x 4x -2-5x+10 = 7x 4x - 5x -7x = 2-10 -8x = -8 / : (-8) x=1 h) 2x - (3x+5):4 = -1/4x -1 /*4 8x- (3x+5) = -x-4 8x-3x-5 = -x-4 8x - 3x+x = -4+5 6x = 1 /:6 x= 1/6 Z.8 a) 4x - 3 = 3x +5 4x - 3x = 5 +3 x = 8 b) 5x +2 = 7-3x 5x +3x = 7-2 8x = 5 /:8 x = 5/8 c) 3(x-1) = 0 3x -3 = 0 3x = 3 /:3 x = 1 d) -6(x+1) =24 -6x -6 = 24 -6x = 24 +6 -6x = 30 /:(-6) x = -5 e) -7(x-2) = 3x -1 -7x+14=3x -1 -7x - 3x = -1-14 -10x = -15 /:(-10) x = 1,5 f) 4(x-1) = 6(1+x) 4x-4 = 6 + 6x 4x - 6x= 6+4 -2x = 10 /:(-2) x = -5
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