 | Elias Loomis - Algebra - 1846 - 380 pages
...gives y - 3. The method thus exemplified, is expressed in the following RULE. Find an expression for the value of one of the unknown quantities in one of the equations ; then substitute this value in the place of its equal in the other equation. ELIMINATION BY COMPARISON.... | |
 | Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...elimination of one of two unknown quantities by substitution, we obtain the following general RULE. 1. Find the value of one of the unknown quantities in one of the equations. 2. In the other equation, substitute this value for the unknown quantity itself, and then reduce as... | |
 | Jeremiah Day - Algebra - 1847 - 358 pages
...equation will then be converted into ahy+bhy=y*. 326. Rule II. To exterminate an unknown quantity, FIND THE VALUE OF ONE OF THE UNKNOWN QUANTITIES, IN ONE OF THE EQUATIONS ; and then in the other EQUATION SUBSTITUTE THIS VALOE FOR THE UNKNOWN QUANTITY ITSELF. Problem 4. A privateer... | |
 | Charles Davies - Algebra - 1848 - 302 pages
...substitution : we have for it the following RULE, Find the value of one of the unknown quantities in either of the equations, and substitute this value for the same unknown quantity in the other equation : there will thus arise a new equation with but one unknown quantity. REMARK. — This method... | |
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...extermination by substitution. Hence, 279. CASE IL To exterminate an unknown quantity by substitution. Find the value of one of the unknown quantities, in one of the equations ; and then in the other equation, SUBSTITUTE this value for the unknown quantity itself. (Art. 159.) Prob.... | |
 | Frederick Overman - Building - 1851 - 452 pages
...equations, will lead to the determination of the first unknown quantity. Or, find the value of either of the unknown quantities in one of the equations, and substitute this value in the other equation. The most practical rule, however, is to multiply, after due reduction, the first... | |
 | Joseph Ray - Algebra - 1848 - 250 pages
...subtraction. ELIMINATION BY SUBSTITUTION. ART. 158. — Elimination by substitution, consists in finding the value of one of the unknown quantities in one of the equations, in terms of the other unknown quantity and known terms, and substituting this, instead of the quantity,... | |
 | Joseph Ray - Algebra - 1852 - 408 pages
...subtraction. ELIMINATION BY SUBSTITUTION. ART. 156. Elimination by substitution consists in finding the value of one of the unknown quantities in one of the equations, in terms, of the other unknown quantity and known terms, and substituting this, instead of the quantity,... | |
 | Elias Loomis - Algebra - 1855 - 356 pages
...equations, gives y=8. The method thus exemplified is expressed in the following RULE. find an expression for the value of one of the unknown quantities in one of the equations ; then substitute this value in the place of its equal in the other equation. ELIMINATION BY COMPARISON.... | |
 | 1856 - 428 pages
...by substitutioit. Case II. To exterminate an unknown quantity by suv etitution. RULÏ. — Find ¡he value of one of the unknown quantities, in one of the equations, in terms of the other unknotcn; and the» in the ether equation, SUBSTITUTS Mû value for the former... | |
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RULE. Find an expression for the value of one of the unknown quantities in one of the equations, and substitute this value for the same unknown quantity in the other equation. 
