Rozwiąż równania :   a) 2/3x - 5 = 1 - 1/3x   b) 2x - ( 3 - x ) = 5 + 2x   c) 5 ( 1 - 2x) - 4x = -7   d) 1i1/2x - 1/4 = 3i1/2 - 3/4x   e) x-1/3 + 5/12 = 2 - 1/4x   f) 0,3 ( 5 - 2x ) = 2 - 0,4 ( x + 1 )

Rozwiąż równania :   a) 2/3x - 5 = 1 - 1/3x   b) 2x - ( 3 - x ) = 5 + 2x   c) 5 ( 1 - 2x) - 4x = -7   d) 1i1/2x - 1/4 = 3i1/2 - 3/4x   e) x-1/3 + 5/12 = 2 - 1/4x   f) 0,3 ( 5 - 2x ) = 2 - 0,4 ( x + 1 )
Odpowiedź

a) 2/3x - 5 = 1 - 1/3x    /*3 2x - 15 = 3 - x 2x + x = 3 + 15 3x = 18    /:3 x = 6 b) 2x - ( 3 - x ) = 5 + 2x 2x - 3 + x = 5 + 2x 2x + x - 2x = 5 + 3 x = 8 c) 5( 1 - 2x) - 4x = -7 5 - 10x - 4x = -7 -10x - 4x = -7 - 5 -14x = -12   /:(-14) x = 6/7 d) 1i1/2x - 1/4 = 3i1/2 - 3/4x 3/2x - 1/4 = 7/2 - 3/4x     /*4 6x - 1 = 14 - 3x 6x + 3x = 14 + 1 9x = 15    /:9 x = 5/3 e) x-1/3 + 5/12 = 2 - 1/4x   /*12 12x - 4 + 5 = 24 - 3x 12x + 3x = 24 + 4 - 5 15x = 23    /:15 x = 23/15 f) 0,3( 5 - 2x ) = 2 - 0,4( x + 1 ) 1,5 - 0,6x = 2 - 0,4x - 0,4 -0,6x + 0,4x = 2 - 0,4 - 1,5 -0,2x = 0,1   /:(-0,2) x = -0,5

a) 2/3 x - 5 = 1 - 1/3 x    2/3 x + 1/3 x = 1 + 5 x = 6   b) 2x - ( 3 - x ) = 5 + 2x 2x-3+x=5+2x x = 8   c) 5 ( 1 - 2x) - 4x = -7 5 - 10x - 4x = -7 -14x = -12   /: (-14 x = 12/14 = 6/7   d) 1i1/2x - 1/4 = 3i1/2 - 3/4x 6/4x + 3/4x = 14/4+1/4 9/4x = 15/4   /*4/9 x = 15/9 = 1 6/9 = 1 2/3   e) x-1/3 + 5/12 = 2 - 1/4x x+1/4x = 2-5/12+1/3 5/4x = 24/12-5/12+4/12 5/4x = 23/12   /* 4/5 x = 23/15 = 1 8/15   f) 0,3 ( 5 - 2x ) = 2 - 0,4 ( x + 1 ) 1,5-0,6x = 2 - 0,4x - 0,4 -0,2x = 2-0,4-1,5 -0,2x = 0,1   /:(-0,2 x =- 0,5  

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