(-2) . (x-3) – 4/5 . (x-1/2) = 5/6 x – 2/3 07/08/2021 Bởi Amara (-2) . (x-3) – 4/5 . (x-1/2) = 5/6 x – 2/3
Đáp án: `x = 212/109` Giải thích các bước giải: `(-2) . (x – 3) – 4/5 . (x – 1/2) = 5/6 . x – 2/3` `⇒ -2x + 6 – 4/5 . x + 2/5 = 5/6 . x – 2/3` `⇒ (-2x – 4/5 . x) + (6 + 2/5) = 5/6 . x – 2/3` `⇒ (-2 – 4/5) . x + (30/5 + 2/5) = 5/6 . x – 2/3` `⇒ (-10/5 – 4/5) . x + 32/5 = 5/6 . x – 2/3` `⇒ (-14/5) . x + 32/5 = 5/6 . x – 2/3` `⇒ (-14/5) . x – 5/6 . x = (-2/3) – 32/5` `⇒ (-14/5 – 5/6) . x = (-10/15) – 96/15` `⇒ (-84/30 – 25/30) . x = -106/15` `⇒ (-109/30) . x = -106/15` `⇒ x = (-106/15) : (-109/30)` `⇒ x = (-106/15) . (-30/109)` `⇒ x = 212/109` Vậy `x = 212/109` Bình luận
`(-2)(x-3)-4/5 . (x-1/2)=5/6x-2/3` `⇔-2x+6-4/5x+2/5=5/6x-2/3` `⇔-2x-4/5x-5/6x=-6-2/5-2/3` `⇔-109/30x=-106/15` `⇔x=(-106/15):(-109/30)` `⇔x=212/109` Bình luận
Đáp án: `x = 212/109`
Giải thích các bước giải:
`(-2) . (x – 3) – 4/5 . (x – 1/2) = 5/6 . x – 2/3`
`⇒ -2x + 6 – 4/5 . x + 2/5 = 5/6 . x – 2/3`
`⇒ (-2x – 4/5 . x) + (6 + 2/5) = 5/6 . x – 2/3`
`⇒ (-2 – 4/5) . x + (30/5 + 2/5) = 5/6 . x – 2/3`
`⇒ (-10/5 – 4/5) . x + 32/5 = 5/6 . x – 2/3`
`⇒ (-14/5) . x + 32/5 = 5/6 . x – 2/3`
`⇒ (-14/5) . x – 5/6 . x = (-2/3) – 32/5`
`⇒ (-14/5 – 5/6) . x = (-10/15) – 96/15`
`⇒ (-84/30 – 25/30) . x = -106/15`
`⇒ (-109/30) . x = -106/15`
`⇒ x = (-106/15) : (-109/30)`
`⇒ x = (-106/15) . (-30/109)`
`⇒ x = 212/109`
Vậy `x = 212/109`
`(-2)(x-3)-4/5 . (x-1/2)=5/6x-2/3`
`⇔-2x+6-4/5x+2/5=5/6x-2/3`
`⇔-2x-4/5x-5/6x=-6-2/5-2/3`
`⇔-109/30x=-106/15`
`⇔x=(-106/15):(-109/30)`
`⇔x=212/109`