Question

determine a solução de cada uma das seguintes equações do 1 grau com uma incógnita a)3x+5x-2=3x+8 b) 2.(x-2)-6=16 c)13x-12= 9x+8 d)3.(a+2)=2.(3a-2)

Answer 1

a) $3x+5x-2=3x+8$

$8x-3x=8+2$

$5x=10 \iff x=\dfrac{10}{5} \iff \boxed{x=2}$


b) $2(x-2)-6=16$

$2x-4=16+6$

$2x-4=22$

$2x=26 \iff x=\dfrac{26}{2} \iff \boxed{x=13}$


c) $13x-12=9x+8$

$13x-9x=8+12$

$4x=20 \iff x=\dfrac{20}{4} \iff \boxed{x=5}$


d) $3(a+2)=2(3a-2)$

$3a+6=6a-4$

$6a-3a=6+4$

$3a=10 \iff \boxed{a=\dfrac{10}{3}}$

Answer 2

Vamos lá:

a)$3x+5x-2=3x+8$
$5x=10$
$x= \dfrac{10}{5}$
$\boxed{x=2}$

b)$2(x-2)-6=16$
$2x-4-6=16$
$x= \dfrac{26}{2}$
$\boxed {x=13}$

c)$13x-12=9x+8$
$13x-9x=8+12$
$x= \dfrac{20}{4}$
$\boxed {x=5}$

d)$3(a+2)=2(3a-2)$
$3a+6=6a-4$
$6a-3a=6+4$
$a= \dfrac{10}{3}$
$\boxed {a=3,33}$

Espero ter ajudado :D