| Charles Davies - Algebra - 1835 - 378 pages
...And . x= — - — =3. • ' • This method, called the method by substitution, consists in finding the value of one of the unknown quantities in one of the equations, as if the other unknown quantities were already determined, and in substituting this value in the other... | |
| Mathematics - 1836 - 488 pages
...of the equations, and form a new equation by making one of these values equal to the other, or 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 un. known quantity itself; or multiply or... | |
| Algebra - 1838 - 372 pages
...43—28 And . a;= — - — =3. o This method, called the method by substitution, consists m fmding the value of one of the unknown quantities in one of the equations, as if the other unknown quantities were already determined, and in substituting this value in the other... | |
| Charles Davies - Algebra - 1839 - 264 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... | |
| Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...find x and jr. to find x and y. ANSWERS. 4... 5... 6... -= 12,y=8 IL By Substitution. (261.) ! Find a value of one of the unknown quantities in one of the equations ; substitute this value instead of it in the other equation ; and a new equation will thus be formed,... | |
| Charles Davies - Algebra - 1842 - 368 pages
...j/=4. And . x=—-—=3. 43—28 5 This method, called the method by substitution, consists m finding the value of one of the unknown quantities in one of the equations, as if the other unknown quantities were already determined, and in substituting this value in the other... | |
| James Bates Thomson - Algebra - 1844 - 272 pages
...extermination by substitution. Hence, 279. CASE II. 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.... | |
| Davis Wasgatt Clark - 1844 - 394 pages
...elimination of one of two unknown ,'juantities 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... | |
| Charles William Hackley - Algebra - 1846 - 544 pages
...is called the method of elimination by addition and subtraction. The rule for the first is to find the value of one of the unknown quantities in one of the equations, and substitute it in the other equation. For the second, is to find the value of the same unknown quantity in each... | |
| Elias Loomis - Algebra - 1846 - 376 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.... | |
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