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" Substitution consists in finding the value of one of the unknown quantities in... "
The Scholar's Algebra: An Introductory Work on Algebra - Page 110
by Lewis Hensley - 1875 - 258 pages
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

William Nicholson - Natural history - 1809 - 716 pages
...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...
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 1

William Nicholson - Arts - 1819 - 432 pages
...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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 898 pages
...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 terms of the other and known quantities, in the more simple of the two equations ; and substitute this value instead of...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - Algebra - 1824 - 550 pages
...20. Given ^+^=6, 64 I to find the values o / , . x and y. and += Ans. a; =12, and #=16. KULE II. Find the value of one of the unknown quantities, in terms of the other and known quantities, in the more simple of the two equations ; and substitute this value instead of...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 404 pages
...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 terms of the other and known quantities, in the more simple of the two equations ; and substitute this value instead of...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...Given 1+1=6, V'to ^ ;, , x , v { x and vand — |-i=5|, I Ans. **=:12,. andy=16. RULE II. 248. Find the value of one of the unknown quantities, in terms of the other and known quantities, in the more simple of the two equations ; and substitute this value instead of...
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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...
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The student's algebra

John Darby (teacher of mathematics.) - 1829 - 212 pages
...2y+4z=28, it becomes 6+6+4z=28; by transposition, 4z=28 — 6 — 6, or4z=16; .-. z=— =4. RULE HI. Find the value of one of the unknown quantities, in terms of the rest of the equation, and substitute its value, thus found, in the other equation. 1. Given 3x + 2y=...
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A Practical System of Algebra: Designed for the Use of Schools and Private ...

Peter Nicholson - Algebra - 1831 - 326 pages
...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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Elements of Algebra: Tr. from the French of M. Bourdon. Revised and Adapted ...

Charles Davies - Algebra - 1835 - 378 pages
...Hence . y = 4. , 43-28 And . x= — - — =3. • ' • This method, called the method by substitution, consists in finding the value of one of the unknown quantities in one of the equations, as if the other unknown quantities were already determined, and in substituting...
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