Question

7. Resolva as equações de 1° grau abaixo:
A) 5x + 4 - 2x = 26 - 3x
B) 3 - 4 = 11
C) 4x + 9 = 3x + 5
D) 5q + 3 - 3q = - 2q + 19

Me ajudem pf​

Answer 1

A) 5x + 4 - 2x = 26 - 3x

$5x+4-2x=26-3x\quad :\quad x=\frac{11}{3}\quad \left(\mathrm{Decimal}:\quad x=3.66666\dots \right)\\5x+4-2x=26-3x\\5x-2x+4=26-3x\\3x+4=26-3x\\3x+4-4=26-3x-4\\3x=-3x+22\\3x+3x=-3x+22+3x\\6x=22\\\frac{6x}{6}=\frac{22}{6}\\x=\frac{11}{3}$

B) 3 - 4 = 11

$3-4=11\quad :\quad \mathrm{Falso}\\3-4=11\\3-4:\quad -1\\-1=11\\\mathrm{Os\:lados\:não\:são\:iguais}\\-1=11$

C) 4x + 9 = 3x + 5

$4x + 9 = 3x + 54x+9=3x+5\\4x+9-9=3x+5-9\\4x=3x-4\\4x-3x=3x-4-3x\\x=-4$

D) 5q + 3 - 3q = - 2q + 19

$5q+3-3q=-2q+19\quad :\quad q=4\\5q+3-3q=-2q+19\\5q-3q+3=-2q+19\\2q+3=-2q+19\\2q+3-3=-2q+19-3\\2q=-2q+16\\2q+2q=-2q+16+2q\\4q=16\\\frac{4q}{4}=\frac{16}{4}\\q=4$