a)
[tex]\frac27(x+3)=1-\frac13(2x+3)\\\frac27x+\frac67=1-\frac23x-1\\\frac27x+\frac23x=-\frac67\\\frac{6}{21}x+\frac{14}{21}x=-\frac67\\\frac{20}{21}x=-\frac67 /*\frac{21}{20}\\x=-\frac{6\!\!\!\!\diagup^3}{7\!\!\!\!\diagup_1}*\frac{21\!\!\!\!\!\diagup^3}{20\!\!\!\!\!\diagup_{10}}\\\boxed{x=-\frac9{10}}[/tex]
b)
[tex]x+\frac35=4-\frac{x}2+1\\x+\frac{x}2=5-\frac35\\\frac32x=\frac{22}5 /*\frac23\\x=\frac{22}5*\frac23\\x=\frac{44}{15}\\\boxed{x=2\frac{14}{15}}[/tex]
c)
[tex]\frac{5(x-2)}6-\frac23x=4x-\frac1{12}-2\frac1{12}\\\frac{5x-10}6-\frac46x-4x=-2\frac2{12}\\\frac{5x-10-4x}6-\frac{24x}6=-2\frac16\\\frac{x-10-24x}{6}=-\frac{13}6 /*6\\-10-23x=-13 /+10\\-23x=-3 /:(-23)\\\boxed{x=\frac3{23}}[/tex]
d)
[tex]3(x-2)-\frac{2(2-x)}4+6(2x+1)-\frac{4(3x+2)}3=\frac12x\\3x-6-\frac{2-x}2+12x+6-\frac{12x+8}3=\frac12x /*6\\18x-36-3(2-x)+72x+36-2(12x+8)=3x\\18x-6+3x+72x-24x-16=3x\\66x=6+16\\66x=22 /:66\\x=\frac{22}{66}\\\boxed{x=\frac13}[/tex]
Odpowiedź:
2/7*(x + 3) = 1 - 1/3 * (2x + 3)
2/7x + 6/7 = 1 - 2/3x - 1
2/7x + 2/3x = -6/7
6/21x + 14/21x = -6/7
20/21x = -6/7 /*21/20
x = -6/7 * 21/20 = -3 * 3/10 = -9/10
x + 3/5 = 4 - x/2 + 1
x + 1/2x = 5 - 3/5
1 1/2x = 4 2/5
3/2x = 22/5 /2/3
x = 2/3 * 22/5 = 44/15 = 2 14/15
5 * (x - 2)/6 - 2/3x = 4x - 1/12 - 2 1/12
5/6x - 5/3 - 2/3x = 4x - 2 2/12
5/6x - 4/6x - 4x = -2 1/6 + 1 2/3
1/6x - 4x = -2 1/6 + 1 4/6
-3 5/6x = -1 7/6x + 1 4/6
-23/6x = -3/6 /*(6/23)
x = 6/23 * 3/6 = 3/23
3 * (x - 2) - 2 * (2 - x)/4 + 6 * (2x + 1) - 4 * (3x + 2)/3 = 1/2x
3x - 6 - 1 + 1/2x + 12x + 6 - 4x + 8/3 = 1/2x
11 1/2x -1 + 2 2/3 - 1/2x = 0
11x = -1 2/3 /:11
x = -5/3 * 1/11 = -5/33
Sxzczegółowe wyjaśnienie:
