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" Find the value of one of the unknown quantities, in terms of the other and known quantities... "
A graduated series of exercises in elementary algebra - Page 47
by George Farncomb Wright - 1857
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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 contain...
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Elements of Algebra

Silvestre François Lacroix - Algebra - 1818 - 422 pages
...are only of the first degree, according to the method adopted in the preceding articles, we take in one of the equations the value of one of the unknown quantities, as if all the rest were known, and substitute this value inall the other equations, which -will then...
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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 contain...
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Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...are only of the first degree, according to the method adopted in the preceding articles, we take in one of the equations the value of one of the unknown quantities, as if all the rest were known, and substitute this value inall the other equations, which will then...
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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 the...
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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 the...
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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 the...
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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 the...
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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...
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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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