Odpowiedź:
1) 4x + 19 = 75 /-19
4x = 56 /:4
x = 14
2) 4,5 - 3x = 10,5 - 5x /+3x
4,5 = 10,5 - 2x /-10,5
-6 = -2x /:(-2)
x = 3
3) [tex]\frac{1}{7}[/tex]x = 2[tex]\frac{1}{14}[/tex]
[tex]\frac{2}{14}[/tex]x = [tex]\frac{29}{14}[/tex] /*14
2x = 29 /:2
x = 14,5
4) 3,7 - 1,2x = 0,8x - 2,3 /+2,3
6 - 1,2x = 0,8x /+1,2x
6 = 2x /:2
5) 2[tex]\frac{1}{2}[/tex] = 3[tex]\frac{1}{8}[/tex] - [tex]\frac{3}{4}[/tex]x
2[tex]\frac{4}{8}[/tex] = 3[tex]\frac{1}{8}[/tex] - [tex]\frac{3}{4}[/tex]x /-3 [tex]\frac{1}{8}[/tex]
-[tex]\frac{5}{8}[/tex] = - [tex]\frac{3}{4}[/tex]x
-[tex]\frac{5}{8}[/tex] = - [tex]\frac{6}{8}[/tex]x /*(-8)
5 = 6x /:6
x = [tex]\frac{5}{6}[/tex]
6) 6x - 7*(11 + 2x) + 2 = -4*(15-x) + 3x
6x - 77 - 14x + 2 = -60 + 4x + 3x
-8x - 75 = -60 + 7x /+8x /+60
-15 = 15x /:15
x = -1
7) [tex]\frac{2x - 1}{3}[/tex] = [tex]\frac{x + 5}{4}[/tex]
[tex]\frac{8x - 4}{12}[/tex] = [tex]\frac{3x + 15}{12}[/tex] /*12
8x - 4 = 3x + 15 /+4
8x = 3x + 19 /-3x
5x = 19 /:5
x = 3[tex]\frac{4}{5}[/tex]
x = 3,8
8) -[tex]\frac{x + 3}{5}[/tex] - 1 = 3 - [tex]\frac{5x}{2}[/tex] /+1
-[tex]\frac{x + 3}{5}[/tex] = 4 - [tex]\frac{5x}{2}[/tex]
-[tex]\frac{2x + 6}{10}[/tex] = 4 - [tex]\frac{25x}{10}[/tex] /*10
-2x - 6 = 40 - 25x /+2x /-40
-46 = -23x /:(-23)
x = 2
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Verified answer
Odpowiedź:
1) 4x + 19 = 75 /-19
4x = 56 /:4
x = 14
2) 4,5 - 3x = 10,5 - 5x /+3x
4,5 = 10,5 - 2x /-10,5
-6 = -2x /:(-2)
x = 3
3) [tex]\frac{1}{7}[/tex]x = 2[tex]\frac{1}{14}[/tex]
[tex]\frac{2}{14}[/tex]x = [tex]\frac{29}{14}[/tex] /*14
2x = 29 /:2
x = 14,5
4) 3,7 - 1,2x = 0,8x - 2,3 /+2,3
6 - 1,2x = 0,8x /+1,2x
6 = 2x /:2
x = 3
5) 2[tex]\frac{1}{2}[/tex] = 3[tex]\frac{1}{8}[/tex] - [tex]\frac{3}{4}[/tex]x
2[tex]\frac{4}{8}[/tex] = 3[tex]\frac{1}{8}[/tex] - [tex]\frac{3}{4}[/tex]x /-3 [tex]\frac{1}{8}[/tex]
-[tex]\frac{5}{8}[/tex] = - [tex]\frac{3}{4}[/tex]x
-[tex]\frac{5}{8}[/tex] = - [tex]\frac{6}{8}[/tex]x /*(-8)
5 = 6x /:6
x = [tex]\frac{5}{6}[/tex]
6) 6x - 7*(11 + 2x) + 2 = -4*(15-x) + 3x
6x - 77 - 14x + 2 = -60 + 4x + 3x
-8x - 75 = -60 + 7x /+8x /+60
-15 = 15x /:15
x = -1
7) [tex]\frac{2x - 1}{3}[/tex] = [tex]\frac{x + 5}{4}[/tex]
[tex]\frac{8x - 4}{12}[/tex] = [tex]\frac{3x + 15}{12}[/tex] /*12
8x - 4 = 3x + 15 /+4
8x = 3x + 19 /-3x
5x = 19 /:5
x = 3[tex]\frac{4}{5}[/tex]
x = 3,8
8) -[tex]\frac{x + 3}{5}[/tex] - 1 = 3 - [tex]\frac{5x}{2}[/tex] /+1
-[tex]\frac{x + 3}{5}[/tex] = 4 - [tex]\frac{5x}{2}[/tex]
-[tex]\frac{2x + 6}{10}[/tex] = 4 - [tex]\frac{25x}{10}[/tex] /*10
-2x - 6 = 40 - 25x /+2x /-40
-46 = -23x /:(-23)
x = 2