Question

Resuelve correctamente cada ecuación y determina el valor numérico de la incógnita.


a) 3(x + 4 ) = - 5x – 36




b) 5(x – 1) – 4 = 3 ( x – 2) + 3






c) 2(x – 4) = 3 ( x + 2 )




d) 3x + 5 = 19 – ( x – 2)




e) 9 (y – 6 ) = 4 ( y + 4)




f) 5( x -1 ) – 3( x + 2) = -2 (x – 4) + 1

Answer 1

A)3x+12=-5x-36----------------> x=-6
b)5x-5-4=3x-6+3---------------> x=3
c)2x-8=3x+6--------------------> x=-14
d) 3x+5=19-x+2----------------> x=4
e) 9y-54=4y+16----------------> y=14
f) 5x-5-3x+6=-2x+8+1--------> x=2

Answer 2

A) 3(x+4) = -5x-36
    3x+12 = -5x-36
    3x+5x = -12-36
    8x = -48
    x = -48/8
    x=-6
b)5(x-1)-4 = 3(x-2)+3
    5x-5-4 = 3x-6+3
    5x-3x = 5+4-6+3
    2x = 6
    x = 6/2
    x = 3
c) 2(x – 4) = 3 ( x + 2 )
    2x-8 = 3x+6
    2x-3x = 8+6
    -x = 14
    x = 14
d) 3x + 5 = 19 – ( x – 2)
    3x+5 = 19-x+2
    3x+x = -5+19+2
    4x = 16
     x = 16/4
     x = 4
e) 9 (y – 6 ) = 4 ( y + 4)
    9y-54 = 4y+16
    9y-4y = 54+16
    15y = 70
    y = 70/5
    y = 14
 f) 5( x -1 ) – 3( x + 2) = -2 (x – 4) + 1
    5x-5-3x-6 = -2x+8+1
    2x-11 = -2x+9
    2x+2x = 11+9 20/4
    x = 5