Question

Halla el valor de la variable de cada ecuación.

A) 2×+1 = 4 (×-6) =

B) 7-3 (× + 1)= × - 3 (× - 1)=

C) 5×-2 (×-6) = 2×+2 (×-1)​

Answer 1

Respuesta:

Explicación paso a paso:

$A)2x+1=4\left(x-6\right)\\\\2x+1=4x-24\\\\2x+1-1=4x-24-1\\\\2x=4x-25\\\\2x-4x=4x-25-4x\\\\-2x=-25\\\\\frac{-2x}{-2}=\frac{-25}{-2}\\\\x=\frac{25}{2}$

$B)7-3\left(x+1\right)=x-3\left(x-1\right)\\\\-3x+4=x-3x+3\\\\-3x+4=-2x+3\\\\-3x+4-4=-2x+3-4\\\\-3x=-2x-1\\\\-3x+2x=-2x-1+2x\\\\-x=-1\\\\\frac{-x}{-1}=\frac{-1}{-1}\\\\x=1$

$C)5x-2\left(x-6\right)=2x+2\left(x-1\right)\\\\5x-2x+12=2x+2\left(x-1\right)\\\\3x+12=2x+2\left(x-1\right)\\\\3x+12=2x+2x-2\\\\3x+12=4x-2\\\\3x+12-12=4x-2-12\\\\3x=4x-14\\\\3x-4x=4x-14-4x\\\\-x=-14\\\\\frac{-x}{-1}=\frac{-14}{-1}\\\\x=14$

Answer 2

A) 2×+1 = 4 (×-6) =

$2x+1 = 4x-24\\+24+1= 4x-2x\\25=2x\\\frac{25}{2} =x$

B) 7-3 (× + 1)= × - 3 (× - 1) =

   $7-3 (x+ 1)= x - 3 (x - 1)\\7-3x-3 = x-3x +3\\4-3x = -2x+3\\4-3=-2x+3x\\1=x$

C) 5×-2 (×-6) = 2×+2 (×-1)​

 $3x+12=2x+2\left(x-1\right)\\3x+12=4x-2\\3x=4x-14\\14= x$