Tìm x thuộc Z:a, -2x-11 chia hết cho 3x+2 b, 2.(x-3)-3.(x-5)=2.(3-x)-18 09/07/2021 Bởi Alexandra Tìm x thuộc Z:a, -2x-11 chia hết cho 3x+2 b, 2.(x-3)-3.(x-5)=2.(3-x)-18
Đáp án: a) −2x−11⋮3x+2 ⇔−6x−33⋮3x+2 ⇔−2(3x+2)−29⋮3x+2 ⇔29⋮3x+2 ⇒x∈{−1;9} b) 2(x−3)−3.(x−5)=4(3−x)−18 ⇒2x−6−3x+15=12−4x−18 ⇒2x−3x+4x=12−18+6−15 ⇒3x=−15 ⇒x=−5 Bình luận
Đáp án:
a) −2x−11⋮3x+2
⇔−6x−33⋮3x+2
⇔−2(3x+2)−29⋮3x+2
⇔29⋮3x+2
⇒x∈{−1;9}
b) 2(x−3)−3.(x−5)=4(3−x)−18
⇒2x−6−3x+15=12−4x−18
⇒2x−3x+4x=12−18+6−15
⇒3x=−15
⇒x=−5