2.2-bo'lim : Chiziqli tenglamalar
3. Quyidagi tenglamani yeching va javobingizni tekshiring.
\[\frac{{4 - 2z}}{3} = \frac{3}{4} - \frac{{5z}}{6}\]Yechim
Bu erda birinchi qadam ikkala tomonni LCD bilan ko'paytirishdir, bu muammo uchun 12 ga teng.
\[\begin{align*}12\left( {\frac{{4 - 2z}}{3}} \right) & = 12\left( {\frac{3}{4} - \frac{{5z}}{6}} \right)\\ 12\left( {\frac{{4 - 2z}}{3}} \right) & = 12\left( {\frac{3}{4}} \right) - 12\left( {\frac{{5z}}{6}} \right)\\ 4\left( {4 - 2z} \right) & = 3\left( 3 \right) - 2\left( {5z} \right)\end{align*}\]2-qadam
Endi biz yechim topishimiz kerak va shuning uchun biz qilishimiz kerak bo'lgan yagona narsa, biz birinchi ikkita amaliyotda qo'llagan jarayondan o'tishimiz kerak. Mana o'sha ish.
\[\begin{align*}4\left( {4 - 2z} \right) & = 3\left( 3 \right) - 2\left( {5z} \right)\\ 16 - 8z & = 9 - 10z\\ 2z & = - 7\\ z & = - \frac{7}{2}\end{align*}\]3-qadam
Endi biz qilishimiz kerak bo'lgan narsa 2-bosqichdagi javobimizni tekshirish va bu tenglamaning yechimi ekanligini tekshirish. Ushbu bosqichni bajarayotganda 2-bosqichdagi yechimni muammo bayonotida berilgan tenglamaga ulash orqali tekshirish muhim.
Mana tekshirish ishi.
\[\begin{align*}\frac{{4 - 2\left( { - \frac{7}{2}} \right)}}{3} & \mathop = \limits^? \frac{3}{4} - \frac{{5\left( { - \frac{7}{2}} \right)}}{6}\\ \frac{{4 + 7}}{3} & \mathop = \limits^? \frac{3}{4} - \frac{{ - \frac{{35}}{2}}}{6}\\ \frac{{11}}{3} & \mathop = \limits^? \frac{3}{4} + \frac{{35}}{{12}}\\ \frac{{11}}{3} & = \frac{{11}}{3}\hspace{0.2in} {\mbox{OK}}\end{align*}\]Shunday qilib, biz 2-bosqichdagi yechimimiz aslida tenglamaning yechimi ekanligini ko'rishimiz mumkin.
E'tibor bering, tekshirish ishi ko'pincha juda tartibsiz bo'lishi mumkin, shuning uchun bu sodir bo'lganda hayajonlanmang. Tasdiqlash bu kabi muammolar uchun doimo eslab qolish uchun muhim qadamdir. Javoblarni tekshirishdan va/yoki o‘qituvchingiz muammoga baho qo‘yishdan oldin javobni to‘g‘ri olgan yoki yo‘qligini har doim bilishingiz kerak!