Question

04. Escreva as equações do 1º grau na forma reduzida:
a) 3x - 5 = 2y
b) - 4y + 3 = 1 - X
c) 11 - y = -7x
d) 6x + 2 = y + X​

Answer 1

a) 3x - 5 = 2y  

$3x-5=2y:\quad y=\frac{3}{2}x-\frac{5}{2}\\\\\mathrm{Paridade\:de}\:\frac{3}{2}x-\frac{5}{2}:\quad \mathrm{Nao\:e\:par\:nem\:impar}\\\\\:\frac{3}{2}x-\frac{5}{2}:\quad \frac{2x+5}{3}\\\\\frac{3}{2}x-\frac{5}{2}:\quad m=\frac{3}{2}$

b) - 4y + 3 = 1 - X

$-4y+3=1-X\quad :\quad X=4y-2\\\\-4y+3+X=1-X+X\\\\-4y+3+X+4y=1+4y\\\\\\3+X-3=1+4y-3\\\\X=4y-2$

c) 11 - y = -7x

$11-y=-7x:\quad y=7x+11\\\\7x+11:\quad \frac{x-11}{7}\\\\y=7x+11\\\\y=\frac{x-11}{7}\\\\\frac{x-11}{7}\\\\\mathrm{Inclinacao\:de\:}7x+11:\quad m=7$

d) 6x + 2 = y + X​

$6x+2=y+x:\quad y=5x+2\\\\5x+2:\quad \frac{x-2}{5}\\\\y=5x+2\\\\\frac{x-2}{5}\\\\\\5x+2:\quad m=5\\\\5x+2\\\\m=5$