Question

Ecuaciones
Halla el valor de cada variable :

Answer 1

Respuestas:

Pregunta 1

$6x-31=4x-9\\6x-4x=-9+31\\2x=22\\x=\frac{22}{2} \\x=11$

Pregunta 2

$7x+8+3x+13=8x+37\\10x+21=8x+37\\10x-8x=37-21\\2x=16\\x=\frac{16}{2} \\x=8$

Pregunta 3

$20x-11-13x=6x-10\\7x-11=6x-10\\7x-6x=-10+11\\x=1$

Pregunta 4

$3(3x+1)=7x+9\\9x+3=7x+9\\9x-7x=9-3\\2x=6\\x=\frac{6}{2} \\x=3$

Pregunta 5

$13(2x-5)=39\\26x-65=39\\26x = 39 +65\\26x=104\\x = \frac{104}{26} \\x=4$

Pregunta 6

$\frac{2x-7}{5}=3\\ 2x-7= (3)(5)\\2x-7 = 15\\2x = 15 + 7\\2x = 22\\x = \frac{22}{2} \\x = 11$

Pregunta 7

$\frac{8x+1}{3}=3\\ 8x+1= (3)(3)\\8x+1=9\\8x = 9 -1\\8x = 8\\x = \frac{8}{8} \\x= 1$

Pregunta 8

$3(x+7)=10x\\3x + 21 = 10x\\21= 10x - 3x\\21 = 7x\\\frac{21}{7}=x\\ x = 3$

Pregunta 9

$3(5x-4)=6x+11-5\\15x-12=6x+6\\15x - 6x = 6 + 12\\9x =18\\x = \frac{18}{9} \\x=2$

Pregunta 10

$17+5(x-2)=11+2(2x+1)\\17+5x-10=11+4x+2\\7 + 5x = 13 + 4x\\5x - 4x = 13 - 7\\x = 6$