Question

Resuelve las siguientes ecuaciones de primer grado con denominadores a)5x/3- 3+ x=2x- 1 b)3x+2x-1/2=5+x-2/4 c)x/2- 2x-1/3=3x-x6 d)x+2/3-4x-1=2- 4x-1/6 NECESITO AYUDA MUCHAS GRACIAS

Answer 1

a) x = 3

b) x = 10/9

c) x = -1/13

d) x = 13/6

Explanation:

To solve in an easy way each equation is convenient to multiply the equation by the m.c.m, in order to eliminate the denominators. Next you sum terms with x and coefficients to obtain x:

a)

m.c.m = 3

`(5)/(3)x-3+x=2x-1\\\\((5)/(3)x-3+x=2x-1)*3\\\\5x-9+3x=6x-3\\\\5x+3x-6x=-3+9\\\\2x=6\\\\x=(6)/(2)=3`

b)

m.c.m = 4

`3x+2x-(1)/(2)=5+x-(2)/(4)\\\\(3x+2x-(1)/(2)=5+x-(2)/(4))*4\\\\12x+8x-2=20+2x-2\\\\12x+8x-2x=20-2+2\\\\18x=20\\\\x=(20)/(18)=(10)/(9)`

c)

m.c.m = 6

`(x)/(2)-2x-(1)/(3)=3x-(x)/(6)\\\\((x)/(2)-2x-(1)/(3)=3x-(x)/(6))*6\\\\3x-12x-2=18x-x\\\\3x-12x-18x+x=2\\\\-26x=2\\\\x=-(2)/(26)=-(1)/(13)`

d)

m.c.m = 6

`x+(2)/(3)-4x-1=2-4x-(1)/(6)\\\\(x+(2)/(3)-4x-1=2-4x-(1)/(6))*6\\\\6x+4-24x-6=12-24x-1\\\\6x-24x+24x=12-1-4+6\\\\6x=13\\\\x=(13)/(6)`