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" Find the value of one of the unknown quantities, in terms of the other and known quantities... "
An Elementary Treatise on Algebra: Theoretical and Practical - Page 239
by James Ryan, Robert Adrain - 1824 - 516 pages
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

William Nicholson - Natural history - 1809 - 716 pages
...only one of the unknown quantities, by any of the following methods: 1" Method. In either equation, find the value of one of the unknown quantities in terms of the other and known quantities, and for it substitute this value in the other equation, which will then only contain one nuknown quantity,...
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The Elements of Algebra: Designed for the Use of Students in the University

James Wood - Algebra - 1815 - 338 pages
...only one of the unknown quantities, by any of the following methods : 1" Method. In either equation, find the value of one of the unknown quantities in terms of the other and known quantities, and for it substitute this value in the other equation, which will then only contain one unknown quantity,...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 1

William Nicholson - Arts - 1819 - 432 pages
...only one of the unknown quantities, by any of the following methods : 1st Method. In either equation find the value of one of the unknown quantities in terms of the other and known quantities, and for it substitute this value in the other equation, which will then only contain one unknown quantity,...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...equation by 5, and the second by 2, and then, subtracting the second from the first. 2. By substitution. Find the value of one of the unknown quantities, in...obtained in which there is only one unknown quantity. Thus in the first of the preceding examples ; from the second equation, x = 16 — 4 у ; substituting...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...equation by 5, and the second by 2, and then subtracting the second from the first. 2. By substitution. Find the value of one of the unknown quantities, in...obtained in which there is only one unknown quantity. Thus in the first of the preceding examples ; from the second equation, x = 16 — 4y ; substituting...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...it may be more convenient to solve one or both of the equations first ; (hat is, to find the values of one of the unknown quantities, in terms of the other and known quantities, as before ; when the rules for eliminating unknown quantities, ( I. Chap. IV). may be more easily...
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An Elementary Treatise on Algebra: Theoretical and Practical ...

James Ryan - Algebra - 1826 - 430 pages
...values of x and and 8x — I3y~ 9, ) y. Ex. 20. Given +=6, to find the values of .c and y. Ang. 7=12, andy=16. RULE II. 248. Find the value of one of the...value of which may be found as in the last Rule. Ex. |. Given $ j^Z1' to find the values of * and y. From the first equation, 3;= 17 — 2y ; Substituting...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...Now, x - sy^~L?—™^H- 12 - * •— g — g "~ 2 ~~ 86. METHOD 3d, In either equation, Jind a value of one of the unknown quantities, in terms of the other and known quantities ; substitute this value for the unknown quantity in the second equation, there will thence arise an...
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The student's algebra

John Darby (teacher of mathematics.) - 1829 - 212 pages
...Indeterminate Analysis. CASE I. When the given equation contains two unknown quantities. RULE. 1 . Find the value of one of the unknown quantities in terms of the rest, as in step first, in the first example. _ 2. Divide the numerator by the denominator, if divisible,...
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A Practical System of Algebra: Designed for the Use of Schools and Private ...

Peter Nicholson - Algebra - 1831 - 326 pages
...the possible values of x and y in integer numbers, suppose the numbers a, b, c, prime to each other. Find the value of one of the unknown quantities in terms of the other. Thus, if the equation be by-lc ax—by=c, then z= — ; Or, ax+by=c, then x= — - — • Increase...
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