Question

5) Resolva as equações: a) 7(x - 5) = 3(x + 1) b) 3(x - 2) = 4(- X + 3) c) 2(x + 1) - (x - 1) = 0 d) 5(x + 1) - 3(x + 2) = 0 e) 4x - 1 = 3 (x - 1)​

Answer 1

Resposta:

a) $x=\frac{38}{4}$  ou  x = 9,5

b) x = $\frac{18}{7}$  ou  x =2,57142857143

c) x = -1

d) x = $\frac{1}{2}$  ou  x = 0,5

e) x = -2

Explicação passo a passo:

$a)\\ 7(x - 5) = 3(x + 1) \\\\7.(x)-7.(5)=3.(x)+3.(1)\\\\7x-35=3x+3\\\\7x-3x=3+35\\\\4x=38\\\\x=\frac{38}{4} \\\\x=9,5$

$b) 3(x - 2) = 4(- X + 3)\\\\3.(x)-3.(2)=4.(-x)+4.(3)\\\\3x-6=-4x+12\\\\3x+4x=12+6\\\\7x=18\\\\x=\frac{18}{7} \\\\x=2,57142857143$

$c) \\2(x + 1) - (x - 1) = 0 \\\\2.(x)+2.(1)-(x-1)=0\\\\2x+2-x+1=0\\\\3x+3=0\\\\3x=-3\\\\x=\frac{-3}{3} \\\\x=-1$

$d)\\ 5(x + 1) - 3(x + 2) = 0\\\\5.(x)+5.(1)-3.(x)+(-3.2)=0\\\\5x+5-3x-6=0\\\\5x-3x-6+5=0\\\\2x-1=0\\\\2x=1\\\\x=\frac{1}{2} \\\\x=0,5$

$e)\\4x - 1 = 3 (x - 1)​\\\\4x-1=3.(x)-3.(1)\\\\4x-1=3x-3\\\\4x-3x=-3+1\\\\x=-2$

Espero ter ajudado , se precisar estamos aqui a disposição.                        

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