Question

Determine o Valor de X na equação a seguir.

a)
$\frac{3x}{2}$ - 5 = $\frac{x}{4}$

b)
$\frac{x}{2}$ + 5 = $\frac{2x}{3}$ - x

c)
$\frac{x}{3}$ + (x - 2) = $\frac{x}{2}$ + (x - 3)

Preciso da conta completa!

Answer 1

Resposta:

OLÁ

VAMOS A SUA PERGUNTA:⇒⇒

A:)→

$\sf\dfrac{3x}{2}-5= \dfrac{x}{4}\\\\\sf2\times3x-20=x\\\\\sf 6x-20=x\\\\\sf 6x-20-x=0\\\\\sf 5x-20=0\\\\\sf 5x=20\\\\\sf x=\dfrac{20}{5}\\\\\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese\ \sf \red{x=4}}}}\ \checkmark$

B:)→

$\sf \dfrac{x}{2}+5= \dfrac{2x}{3}-x\\\\\sf3x+30=2\times2x-6x\\\\\sf 3x+30=4x-6x\\\\\sf 3x+30=-2x\\\\\sf 3x+30+2x=0\\\\\sf 5x+30=0\\\\\sf 5x=-30\\\\\sf x=\dfrac{-30}{5}\\\\\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese\ \sf \green{x=-6}}}}\ \checkmark$

C:)→

$\sf \dfrac{x}{3}+(x-2)= \dfrac{x}{2}+(x-3)\\\\\sf 2x+6x-12=3x+6x-18\\\\\sf 8x-12=3x+6x-18\\\\\sf 8x-12=9x-18\\\\\sf 8x-12-9x=-18\\\\\sf -x-12=-18\\\\\sf -x=-18+12\\\\\sf -x=-6\\\\\boxed{\bold{\displaystyle{\clubsuit\ \spadesuit\ \maltese\ \sf \orange{x=6}}}}\checkmark$

Explicação passo-a-passo:

ESPERO TER AJUDADO