Odpowiedź :
a]
[tex]3x-(4-x)=x+3-(2x-3)\\\\3x-4+x=x+3-2x+3\\\\4x-4=-x+6\\\\4x+x=6+4\\\\5x=10 \ \ |:5\\\\\huge\boxed{\boxed{x=2}}[/tex]
b]
[tex]\frac{3x-1}{8}=\frac{12x-1}{4} \ \ |\cdot8\\\\3x-1=2(12x-1)\\\\24x-2=3x-1\\\\24x-3x=-1+2\\\\21x=1 \ \ |:21\\\\\boxed{\boxed{x=\frac{1}{21}}}[/tex]
c]
[tex]\frac{x+3}{2}=\frac{11}{18}+\frac{5}{9}x \ \ |\cdot18\\\\9(x+3)=11+10x\\\\11+10x=9x+27\\\\10x-9x=27-11\\\\\boxed{\boxed{x=16}}[/tex]
Odpowiedź:
a) 3x - (4 - x) = x + 3 - (2x - 3) to 3x - 4 + x = x + 3 - 2x + 6 to
3x + x - x + 2x = 3 + 6 + 4 to 5x = 13 /:5 to x = 13/5 = 2 3/5
b) (3x - 1)/8 = (12x - 1)/4 /•8 to 3x - 1 = 2(12x - 1) to 3x - 1 = 24x - 2
to 3x - 24x = - 2 + 1 to - 21x = - 1 /:(-21) to x = 1/21
c) (x + 3)/2 = 11/18 + 5x/9 /•18 9(x +3) = 11 + 10x to 9x + 27 = 11 + 10x
to 9x - 10x = 11 - 27 to - x = - 16 /•(-1) to x = 16
Szczegółowe wyjaśnienie:
a) 3x - (4 - x) = x + 3 - (2x - 3) to 3x - 4 + x = x + 3 - 2x + 6 to
3x + x - x + 2x = 3 + 6 + 4 to 5x = 13 /:5 to x = 13/5 = 2 3/5
b) (3x - 1)/8 = (12x - 1)/4 /•8 to 3x - 1 = 2(12x - 1) to 3x - 1 = 24x - 2
to 3x - 24x = - 2 + 1 to - 21x = - 1 /:(-21) to x = 1/21
c) (x + 3)/2 = 11/18 + 5x/9 /•18 9(x +3) = 11 + 10x to 9x + 27 = 11 + 10x
to 9x - 10x = 11 - 27 to - x = - 16 /•(-1) to x = 16