Question

1)Utilize as operações inversas e encontre o valor da incógnita x: A)2x-5=x+1 B)2x+3=x+4 C)5x+7=4x+10 D)x+x-4=17-2x+1 E)x+2x+3-5x=4x-9 F)5x+6x-16=3x+2x-4 (foi mal por tanto ;-;)​

Answer 1

Resposta:

A)2x-5=x+1

$2 x - 5 - x - 1 = 0 \\ x - 6 = 0 \\ x = 6$

B)2x+3=x+4

$2x + 3 - x - 4 = 0 \\ x - 1 = 0 \\ x = 1$

C)5x+7=4x+10

$5x + 7 - 4x - 10 = 0 \\ x - 3 = 0 \\ x = 3$

D)x+x-4=17-2x+1

$x + x - 4 - 17 + 2x - 1 = 0 \\ 4x - 22 = 0 \\ 4x = 22 \\ x = \frac{22}{4} \div 2 \\ x = \frac{11}{2}$

E)x+2x+3-5x=4x-9

$x + 2x + 3 - 5x - 4x + 9 = 0 \\ - 6x + 12 = 0 \\ - 6x = - 12 \times ( - 1) \\ 6x = 12 \\ x = \frac{12}{6} \\ x = 2$

F)5x+6x-16=3x+2x-4

$5x + 6x - 16 - 3x - 2x + 4 = 0 \\ 6x - 12 = 0 \\ 6x = 12 \\ x = \frac{12}{6} \\ x = 2$