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Books Books 1 - 10 of 56 on In one of the given equations obtain the value of one of the unknown quantities in....
" In one of the given equations obtain the value of one of the unknown quantities in terms of the other unknown quantity; Substitute this value in the other equation and solve. "
A First Book in Algebra - Page 220
by Fletcher Durell, Elmer Ellsworth Arnold - 1919 - 325 pages
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

Natural history - 1809
...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 - Natural history - 1819
...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 ...

Geometry - 1821 - 438 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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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 383 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 - 516 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 - Algebra - 1826 - 207 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
...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 - 316 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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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839
...unknown quantity may be obtained by either of the three following methods. First Method. (54.) Find the value of one of the unknown quantities in terms of the other and the known quantities, from the first equation, by the method already given. Find the value of the...
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An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - Algebra - 1840 - 605 pages
...possible values of x and у 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 ax — by=c, then by-\-c , . . ' • '.>y — -c ' x =1-^-1 — ; or, ax-4-by=c,...
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