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" 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. "
Algebraical Problems Producing Simple and Quadratic Equations, with Their ... - Side 22
av Miles Bland - 1849 - 461 sider
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volum 1

William Nicholson - 1809 - 716 sider
...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 - 1815 - 338 sider
...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 ..., Volum 1

William Nicholson - 1819 - 432 sider
...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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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - 1824 - 542 sider
...it may be more convenient to solve one ot both of the equations first ; that 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 - 1824 - 550 sider
...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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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 sider
...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 sider
...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 - 1831 - 326 sider
...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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An Elementary Treatise on Algebra, Theoretical and Practical: With Attempts ...

John Radford Young - 1839 - 332 sider
...each 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 same...
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Elements of algebra

William Foster - 1840 - 92 sider
...for y in (B), 9x— 12=96 .-. 9x=108 and «=12 .-. jr=12andy=6. RULE II. In either of the equations, find the value of one of the unknown quantities in terms of the other and of the known quantities : for it, substitute this value in the other equation, and there will result...
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