College Algebra
College Algebra
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In our eReader you can find the full English version of the book. Read College Algebra Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book College Algebra
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274 COLLEGE ALGEBRA L??258, 259 If / = 4, etc., or — 1, — 2, etc., the values of x or of »/ will be negative.
268. To solve the equation ax-\-hy-\- cz = d in positive integers one may proceed thus: write it in the form ax+ hy ^=id — rz, then give to z the values 1, 2, 3, . . in succession and determine in each case the values of x and y by the preceding articles.
259. General solution of two simultaneous equations in three unknown quantities. Solve in integral values the equations, (1) ax-\-hy-...^cz^:zd (2) aU + h'y + c'z = d\ Eliminate, «, for example, we obtain an equation connecting the other two variables, Ax-\- By = (\ suppose. Now if ^l and B have only such common factors as are contained in C, then proceeding as in §2256, 257 we may find (3) x= 1+ nt, y =m-^ At .
Substitute now these values in either equation (1) or (2) and obtain an equation in t and z, which can be written AU -\- h'z = (?. If A' and B* do not contain any common factors except such as are also common to C", we may write (4) tz=VJ^ B't', z-w!
What to read after College Algebra?
You can find similar books in the "Read Also" column, or choose other free books by James Harrington Boyd to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
274 COLLEGE ALGEBRA L??258, 259 If / = 4, etc., or — 1, — 2, etc., the values of x or of »/ will be negative.
268. To solve the equation ax-\-hy-\- cz = d in positive integers one may proceed thus: write it in the form ax+ hy ^=id — rz, then give to z the values 1, 2, 3, . . in succession and determine in each case the values of x and y by the preceding articles.
259. General solution of two simultaneous equations in three unknown quantities. Solve in integral values the equations, (1) ax-\-hy-...^cz^:zd (2) aU + h'y + c'z = d\ Eliminate, «, for example, we obtain an equation connecting the other two variables, Ax-\- By = (\ suppose. Now if ^l and B have only such common factors as are contained in C, then proceeding as in §2256, 257 we may find (3) x= 1+ nt, y =m-^ At .
Substitute now these values in either equation (1) or (2) and obtain an equation in t and z, which can be written AU -\- h'z = (?. If A' and B* do not contain any common factors except such as are also common to C", we may write (4) tz=VJ^ B't', z-w!
What to read after College Algebra?
You can find similar books in the "Read Also" column, or choose other free books by James Harrington Boyd to read onlineMoreLess
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