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" Find the value of one of the unknown quantities, in terms of the other and known quantities... "
Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ... - Σελίδα 174
των Charles Davies - 1860 - 400 σελίδες
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Τόμος 1

William Nicholson - 1809 - 716 σελίδες
...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,...

The Elements of Algebra: Designed for the Use of Students in the University

James Wood - 1815 - 338 σελίδες
...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,...

American Edition of the British Encyclopedia: Or, Dictionary of ..., Τόμος 1

William Nicholson - 1819 - 432 σελίδες
...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,...

Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - 1821 - 898 σελίδες
...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 terms of the other and known quantities, in the more simple of the two equations ; and substitute this value instead of the quantity itself...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 σελίδες
...20. 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 quantity itself...

An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan - 1824 - 550 σελίδες
...Ex. 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 quantity itself...

Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - 1824 - 404 σελίδες
...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 terms of the other and known quantities, in the more simple of the two equations ; and substitute this value instead of the quantity itself...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 σελίδες
...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...

The student's algebra

John Darby (teacher of mathematics.) - 1829 - 212 σελίδες
...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,...

A Practical System of Algebra: Designed for the Use of Schools and Private ...

Peter Nicholson - 1831 - 326 σελίδες
...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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