Question

Resolución de las siguientes ecuaciones de primer grado:

X-7/2=X/3+1

5X/3-7/2=X/3+1

3X/2-4=9/8+X

4X-5/3=6

4X-48/6+X-1=143/13

X/4+3/2=-X/2+5/3

1/4-2X=4X/3-6/2

8/3X-1/2-X/8-6

3X/2-4=9/8+X

3X-1/4=6/5

Answer 1

El planteamiento de las ecuaciones carece de paréntesis para dar claridad sobre las operaciones a desarrollar así que las inferiré:

x-7/2 = (x/3) + 1
x- x/3 = 1 + 7/2
2x /3 = 9/2
x = (9/2) * (3/2)
x = 27/4


(5x/3) - 7/2 = (x/3) +1
x(5/3-1/3) = 1+7/2
4/3 x = 9/2
x = (9/2) * (3/4)
x = 27/8


(3x/2)-4 = (9/8) +x
x(3/2-2/2) = 4+9/8
1/2 x = 32/8 + 9/8
1/2 x = 41/8
x = 2* (41/8)
x = 82/8
x = 41/4


4x - 5/3 = 6
4x = 18/3 + 5/3
4x = 23/3
x = (1/4) * (23/3)
x = 23/12


4x - 48/6  + x -1 = 143/13
4x - 8 + x - 1 = 11
5x - 9 = 11
5x = 11 + 9
5x = 20
x = 20/5
x = 4


x/4 + 3/2 = x/2 +5/3
x/4 - x/2 = 5/3 - 3/2
x/4 - 2x/4 = 10/6 - 9/6
-x/4 = 1/6
x = -4 * (1/6)
x = -4/6
x = -2/3



1/4 - 2x = (4x/3) - 6/2
1/4 - 2x = (4x/3) - 3
-2x - (4x/3) = -3 - 1/4
x ( -6/3 - 4/3) = -12/4 - 1/4
-10/3  x = -13/4
x = (-13/4) * (3/-10)
x = 39/40


(8/3) x - 1/2 = (x/8) -6
<en este caso yo infiero que así está conformada la igualdad>
x(8/3 - 1/8) = 1/2 -6
x(64/24 - 3/24) = 1/2 - 12/2
61/24 x = -11/2
x = (-11/2) * ( 24/61)
x = -264 / 122
x = -132/61


3x/2 - 4 = 9/8 + x
x(3/2 - 2/2) = 9/8 + 32/8
1/2 x = 41/8
x = 2* 41/8
x = 82/8
x = 41/4


3x - 1/4 = 6/5
3x = 6/5 + 1/4
3x = 24/20 + 5/20
3x = 29/20
x = 3* (29/20)
x = 87 / 20



Saludos.........