Question

DETERMINE O VALOR DE X:

Answer 1

Explicação passo-a-passo:

a)

$\sf \dfrac{3x+10}{2}=\dfrac{x-2}{3}$

$\sf 3\cdot(3x+10)=2\cdot(x-2)$

$\sf 9x+30=2x-4$

$\sf 9x-2x=-4-30$

$\sf 7x=-34$

$\sf \red{x=\dfrac{-34}{7}}$

b)

$\sf \dfrac{x-4}{4}=\dfrac{x-2}{5}$

$\sf 5\cdot(x-4)=4\cdot(x-2)$

$\sf 5x-20=4x-8$

$\sf 5x-4x=-8+20$

$\sf \red{x=12}$

c)

$\sf \dfrac{x+6}{4}=\dfrac{3x-2}{6}$

$\sf 4\cdot(3x-2)=6\cdot(x+6)$

$\sf 12x-8=6x+36$

$\sf 12x-6x=36+8$

$\sf 6x=44$

$\sf x=\dfrac{44}{6}$

$\sf \red{x=\dfrac{22}{3}}$

d)

$\sf \dfrac{x-1}{12}=\dfrac{x-2}{11}$

$\sf 12\cdot(x-2)=11\cdot(x-1)$

$\sf 12x-24=11x-11$

$\sf 12x-11x=-11+24$

$\sf \red{x=13}$