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" Find the value of one of the unknown quantities, in terms of the other and known quantities... "
An Elementary Treatise on Algebra: Theoretical and Practical - Page 239
by James Ryan, Robert Adrain - 1824 - 516 pages
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The Scholar's Algebra: An Introductory Work on Algebra

Lewis Hensley - Algebra - 1875 - 274 pages
...the signs. II. Another method frequently employed is that of substitution. This consists in finding the value of one of the unknown quantities in terms of the other from one equation, and substituting the expression so found for the first quantity in the other equation....
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First B.A. Examination, University of London: A Hand-book to the Study of ...

J. G - 1878 - 408 pages
...789 i By subtraction 153y = 459, or y = 3, and.'.z = 2. The method which depends upon substituting the value of one of the unknown quantities in terms of the other, may be used witli advantage whenever either of the unknown quantities, x or y, has a coefficient unity...
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Elementary algebra, with brief notices of its history

Robert Potts - 1879 - 668 pages
...bo determined from these equations, a1z-\-bty = cl, а^с-\-1>^у = сг. First method : By finding the value of one of the unknown quantities in terms of the other and known quantities, from one equation, and substituting it in the other equation. Let the value of x be found from the...
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Elementary algebra: with brief notices of its history

Robert Potts - Algebra - 1879 - 672 pages
...may be determined from these equations, a¡x+bly = ol, a¿c+b¿y = cíl. First method : By finding the value of one of the unknown quantities in terms of the other and known quantities, from one equatiou, and substituting it in the other equation. Let the value of x be found from the...
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University Algebra

Webster Wells - Algebra - 1879 - 468 pages
...uniting terms, 41 x = 82 Whence, ж =2. Substituting this value in (3), у = — - — = — 3. BULE. Find the value of one of the unknown quantities in terms of the other, from either of the given equations * and substitute this value for that quantity in the other equation....
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Algebra

C R. Lupton - 1879 - 194 pages
...2y = 26, /. Зж + 8 = 26 ; transposing, Зж =18, .'. ж = 6. SECOND METHOD. 82. By Substitution. —Find the value of one of the unknown quantities in terms of the other from either equation, and substitute this value in the other equation. Taking the same equation as...
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An Easy Algebra for Beginners: Being a Simple, Plain Presentation of the ...

Charles Scott Venable - Algebra - 1880 - 168 pages
...equation. For this case we have the Rule. — From the equation of the first degree find the expression of one of the unknown quantities in terms of the other, and then substitute this expression in the second equation. Ex. 1. Given x 4 y = 10 (1) Ь0 find the values...
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The student's algebra

James Mackean - 1881 - 510 pages
...that may be employed. 158. I. When one of the equations is simple. Find from the simple equation a value of one of the unknown quantities in terms of the other, and substitute this value in the other equation. Illustrative Example. From [2], x = 2y + 3. Substitute...
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Elements of Algebra

George Albert Wentworth - Algebra - 1881 - 400 pages
...11, .-. x=l. 191. Hence, to eliminate an unknown quantity by comparison, from each equation obtain the value of one of the unknown quantities in terms of the other. Form an equation from these equal values and reduce the equation. NOTE. If, in the last example, (3)...
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A School Algebra

Simon Newcomb - Algebra - 1882 - 302 pages
...— ?— = — ^— ; 2ж + « = 30. 8 — у 4 — ж' ' -; Elimination by Substitution. 159. RULE. Find the value of one of the unknown quantities in terms of the other from one equation, and substitute this value in the other equation. The latter will then have but one...
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