Question

resolver las siguientes ecuaciones de primer grado con una incógnita y arrastrar la respuesta correcta

a. X-(2x+1)=8-(3×+3)

b. 2(x-1)-5=14-x

c. 15x-10=6x-(x-2)+(-x+3)

d. x+3(x-1)=6-4(2x+3)

e. 6-3(X+1)=-4x+2(1-x)​

Answer 1

Respuesta:

$a)x - (2x + 1) = 8 - (3x + 3) \\ x - 2x - 1 = 8 - 3x - 3 \\ - x - 1 = 5 - 3x \\ - 1 - 5 = - 3x + x \\ - 6 = - 2x \\ 3 = x$

$b)2(x - 1) - 5 = 14 - x \\ 2x - 2 - 5= 14 - x \\ 2x - 7 = 14 - x \\ 2x + x = 14 + 7 \\ 3x = 21 \\ x = 7$

$c)15x - 10 = 6x - (x - 2) + ( - x + 3) \\ 15x - 10 = 6x - x + 2 - x + 3 \\ 15x - 10 = 4x + 5 \\ 15x - 4x = 5 +1 0 \\ 11x = 15 \\ x = \frac{15}{11}$

$d)x + 3(x - 1) = 6 - 4(2x + 3) \\ x + 3x - 3 = 6 - 8x - 12 \\ 4x - 3 = - 6 - 8x \\ 4x + 8x = - 6 + 3 \\ 12x = - 3 \\ x = - \frac{3}{12} \\ x = - \frac{1}{4}$

$e)6 - 3(x + 1) = - 4x + 2(1 - x) \\ 6 - 3x - 3 = - 4x + 2 - 2x \\ 3 - 3x = - 6x + 2 \\ - 3x + 6x = 2 - 3 \\ 3x = - 1 \\ x = - \frac{1}{3}$