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" 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, in the other equation. "
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... - Page 145
by Charles William Hackley - 1846 - 503 pages
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The Elements of Algebra in a New and Easy Method: With Their Use and ...

Nathaniel Hammond - Algebra - 1742 - 362 pages
...Queftion contains four Equations, and there JD are four unknown Quantities in each Equation : Then find the Value of one of the unknown Quantities in one of the given Equations, and for that unknown Quantity in the other three Equations write this Value of it,...
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The Elements of Algebra in a New and Easy Method: With Their Use and ...

Nathaniel Hammond - Algebra - 1772 - 362 pages
...the Queftion1 contains four Equations, and y V there are four unknown Quantities in each Equation ; find the Value of one of the unknown Quantities in one of the given Equations, and for that unknown Quantity in the other three Equations write this Value of it,...
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...equation, to be reduced by the rules for a single equation. 2. Or, as in the 3d rule of the same problem, find the value of one of the unknown quantities in one of the equations only ; then substitute this value instead of it in the other equations ; which gives a new set of equations...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1814 - 304 pages
...only one unknown quantity. Hence, 326. RULE II. To exterminate an unknown quantity, Find the valve of one of the unknown quantities, in one, of the equations ; and then, in the other equation, SUBSTITUTE thit value, for the unknown quantity itself. -Prob. 4. A privateer...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1820 - 352 pages
...which contains only one unknown quantity. Hence, 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 VALUE, FOR THE UNKNOWN QUANTITY ITSELF. Prob. 4. A privateer...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...equation, to be reduced by the rules for a single equation. 2. Or, as in the 2d rule of the same problem, find the value of one of the unknown quantities in one of the equation* only; then substitute this value instead of it in the other equations ; which gives a new...
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Dictionary of the Mathematical and Physical Sciences, According to the ...

James Mitchell - Mathematics - 1823 - 666 pages
...one unknown quantity, the value of which mast be found by the proper rnles, as above referred to. 2. Find the value of one of the unknown quantities in one of the equations m terms of the other quantities ; then substitute this value for that quantity in all the IH her e(l...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1827 - 352 pages
...which contains only one unknown quantity. Hence, 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 VALUE FOR THE UNKNOWN QUANTITY ITSELF. Prob. 4. A privateer...
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A Course of Mathematics: For the Use of Academies as Well as ..., Volume 1

Charles Hutton - Mathematics - 1831 - 632 pages
...reduced by the rules for a single equation. 2. Or, as in the 2d rule of the same problem, find i.he value of one of the unknown quantities in one of the equations only ; then substitute this value instead of it in the other equations ; which gives a new set of equations...
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Elements of Algebra: Tr. from the French of M. Bourdon, for the ..., Volume 1

Bourdon (M., Louis Pierre Marie) - Algebra - 1831 - 446 pages
...principal methods of eliminations. The first, 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...
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