Question

Rezolvati in Z ecuatiile .
A) 3x -9=0
B) 3=4x-13
C) 3(x-1) =6
D)3( x+2) =2( x-1)
E)-7+4x=1
F) ( x+3)(x-2)=0

Answer 1

A 3x-9=0 => 3x=9 =>x=3
B 3=4x-13 =>4x=16=>x=4
C 3x-3=6 =>3x=9 =>x=3
D 3x+6 =2x-2=>x=-8
E 4x=8 = >x=2
F x∈ {-3 ; 2 } (doar una din solutii e valabila pentru ca relatia sa fie adevarata )

Answer 2

$a).3x-9=0 \\ 3x=0+9 \\ 3x=9 \\ x= \frac{9}{3} \\ x=3 \\ \\ b).3=4x-13 \\ 4x=3+13 \\ 4x=16 \\ x= \frac{16}{4} \\ x=4$

$c).3(x-1)=6 \\ 3x-3=6 \\ 3x=6+3 \\ 3x=9 \\ x= \frac{9}{3} \\ x=3 \\ \\ d).3(x+2)=2(x-1) \\ 3x+6=2x-2 \\ 3x-2x=-2-6 \\ x=-8$

$e).-7+4x=1 \\ 4x=1+7 \\ 4x=8 \\ x= \frac{8}{4} \\ x=2 \\ \\ f).(x+3)(x-2)=0 \\ x+3=0 \\ x=0-3 \\ x=-3 \\ x-2=0 \\ x=0+2 \\ x=2 \\ x=-3;x=2$