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" RULE. Find an expression for the value of the same unknown quantity in each of the equations, and form a new equation, by placing these values equal to each other. "
New Elementary Algebra: Designed for the Use of High Schools and Academies - Page 133
by Benjamin Greenleaf - 1879 - 309 pages
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 252 pages
...equations, containing two unknown quantities, we have the following RULE, FOR ELIMINATION BY COMPARISON. Find an expression for the value of the same unknown quantity in each of the given equations, and place these values equal to each other ; there will thus be formed a new equation,...
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Ray's Algebra Part Second: An Analytical Treatise, Designed for High Schools ...

Joseph Ray - Algebra - 1852 - 408 pages
...equations, containing two unknown quantities, we have the following RULE FOR ELIMIHATIOH BY COMPARISON. — Find an expression for the value of the same unknown quantity in each of the given equations, and place these values equal to each other; there will thus Reformed a new equation,...
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A Treatise on Algebra

Elias Loomis - Algebra - 1855 - 356 pages
...the preceding expressions for y, we find The method thus exemplified is expressed in the following RULE. Find an expression for the value of the same...each of the equations, and form a new equation by putting one of these values equal to the other. ELIMINATION BY ADDITION AND SUBTRACTION. (111.) To...
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...preceding expressions for y, we find ( 111.) The method thus exemplified is expressed in the following RULE. Find an expression for the value of the same...each of the equations, and form a new equation by putting one of these values equal to the other. Ex. 3. Find the values of x and y in the equations...
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A Treatise on Algebra

Elias Loomis - Algebra - 1858 - 394 pages
...preceding expressions for y, we find y=3. The method thus exemplified is expressed in the following RULE. Find an expression for the value of the same...each of the equations, and form a new equation by putting one of these values equal to the other. ELIMINATION BY ADDITION AND SUBTRACTION. (111.) To...
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...Substituting, now, 2 for y in equation (3), and reducing, we have (10), or x = 4. Hence the RTJLE. Find an expression for the value of the same unknown...remaining unknown quantity may be determined in the samo way аз that of the first, thus making two independent solutions, one for each unknown quantity....
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A Treatise on Algebra

Elias Loomis - Algebra - 1864 - 386 pages
...preceding expressions for y, we find y=s. The method thus exemplified is expressed in the following RULE. Find an expression for the value of the same...each of the equations, and form a new equation by putting one of these values equal to the other. ELIMINATION BY ADDITION AND SUBTRACTION. (111.) To...
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Elements of Algebra: For Colleges, Schools, and Private Students, Book 2

Joseph Ray - Algebra - 1866 - 420 pages
...(ab'—a'b)x=b/c—bc'; b'c-bc' „ x=—r- 7i. Hence, ab'—a'b Rule for Elimination by Comparison. — Find an expression for the value of the same unknown quantity in each of the given equations, and place these values equal to each other; there will thus be formed a new equation,...
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Ray's Algebra, First Book: Primary Elements of Algebra, for Common ..., Book 1

Joseph Ray - Algebra - 1866 - 252 pages
...the values of y, and placing them equal to each other. Hence, TO ELIMINATE BY COMPARISON Rule. — 1. Find an expression for the value of the same unknown quantity in each of the given equations. 2. Place these values equal to each other; there will thus be formed a new equation...
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Ray's Algebra, Part Second: An Analytical Treatise, Designed for ..., Part 2

Joseph Ray - Algebra - 1852 - 420 pages
...equations, containing two unknown quantities, we have the following RULE FOR ELIMINATION BY COMPARISON. — Find an expression for the value of the same unknown quantity in each of the given equations, and place these values equal to each other; there will thus be formed a new equation,...
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