Additional Articles of the Constitution of the Republic of China Article 3

The president of the Executive Yuan shall be appointed by the president. Should the president of the Executive Yuan resign or the office become vacant, the vice president of the Executive Yuan shall temporarily act as the president of the Executive Yuan pending a new appointment by the president. The provisions of Article 55 of the Constitution shall cease to apply.The Executive Yuan shall be responsible to the Legislative Yuan in accordance with the following provisions; the provisions of Article 57 of the Constitution shall cease to apply:(1) The Executive Yuan has the duty to present to the Legislative Yuan a statement on its administrative policies and a report on its administration. While the Legislative Yuan is in session, its members shall have the right to interpellate the president of the Executive Yuan and the heads of ministries and other organizations under the Executive Yuan.(2) Should the Executive Yuan deem a statutory, budgetary, or treaty bill passed by the Legislative Yuan difficult to execute, the Executive Yuan may, with the approval of the president of the Republic and within ten days of the bill's submission to the Executive Yuan, request the Legislative Yuan to reconsider the bill. The Legislative Yuan shall reach a resolution on the returned bill within 15 days after it is received. Should the Legislative Yuan be in recess, it shall convene of its own accord within seven days and reach a resolution within 15 days after the session begins. Should the Legislative Yuan not reach a resolution within the said period of time, the original bill shall become invalid. Should more than one-half of the total number of Legislative Yuan members uphold the original bill, the president of the Executive Yuan shall immediately accept the said bill.(3) With the signatures of more than one-third of the total number of Legislative Yuan members, the Legislative Yuan may propose a no-confidence vote against the president of the Executive Yuan. Seventy-two hours after the no-confidence motion is made, an open-ballot vote shall be taken within 48 hours. Should more than one-half of the total number of Legislative Yuan members approve the motion, the president of the Executive Yuan shall tender his resignation within ten days, and at the same time may request that the president dissolve the Legislative Yuan. Should the no-confidence motion fail, the Legislative Yuan may not initiate another no-confidence motion against the same president of the Executive Yuan within one year.The powers, procedures of establishment, and total number of personnel of national organizations shall be subject to standards set forth by law.The structure, system, and number of personnel of each organization shall be determined according to the policies or operations of each organization and in accordance with the law as referred to in the preceding paragraph.
中文原文 中華民國憲法增修條文第3條
行政院院長由總統任命之。
行政院院長辭職或出缺時,在總統未任命行政院院長前,由行政院副院長暫行代理。
憲法第五十五條之規定,停止適用。
行政院依左列規定,對立法院負責,憲法第五十七條之規定,停止適用:
一、行政院有向立法院提出施政方針及施政報告之責。
立法委員在開會時,有向行政院院長及行政院各部會首長質詢之權。
二、行政院對於立法院決議之法律案、預算案、條約案,如認為有窒礙難行時,得經總統之核可,於該決議案送達行政院十日內,移請立法院覆議。
立法院對於行政院移請覆議案,應於送達十五日內作成決議。
如為休會期間,立法院應於七日內自行集會,並於開議十五日內作成決議。
覆議案逾期未議決者,原決議失效。
覆議時,如經全體立法委員二分之一以上決議維持原案,行政院院長應即接受該決議。
三、立法院得經全體立法委員三分之一以上連署,對行政院院長提出不信任案。
不信任案提出七十二小時後,應於四十八小時內以記名投票表決之。
如經全體立法委員二分之一以上贊成,行政院院長應於十日內提出辭職,並得同時呈請總統解散立法院;不信任案如未獲通過,一年內不得對同一行政院院長再提不信任案。
國家機關之職權、設立程序及總員額,得以法律為準則性之規定。
各機關之組織、編制及員額,應依前項法律,基於政策或業務需要決定之。

English translation for reference only; the Chinese text prevails. Not legal advice.