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" Any term may be transposed from one member of an equation to the other, provided its sign be changed. "
Elementary Algebra - Page 31
by Herbert Ellsworth Slaught, Nels Johann Lennes - 1915 - 373 pages
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University Algebra: Designed for the Use of Schools and Colleges

Webster Wells - Algebra - 1880 - 498 pages
...a has been transposed to the second member by changing its sign. 174. Hence the following RULE. Any term may be transposed from one member of an equation to the other, provided its sign be changed. Also, if the same term appear in both members of an equation affected with the same si1jn,...
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The Normal Elementary Algebra: Containing the First Principles of the ...

Edward Brooks - Algebra - 1888 - 190 pages
...one member to the other, the sign of the quantity is changed ; hence the following rule. Rule. — A term may be transposed from one member of an equation to the oiher, if, at the same time, the sign be changed. EXAMPLES. In the following examples transpose the...
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College Algebra: For the Use of Academies, Colleges, and Scientific Schools ...

Edward Albert Bowser - Algebra - 1888 - 868 pages
...It is evident that similar steps may be employed in all cases. Hence we have the following RULE. Any term may be transposed from one member of an equation to the other by changing its sign. It follows from this that the sign of every term of an equation may be cJianged;...
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The Academic Algebra

William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 428 pages
...disappears from one member of an equation, reappears in the other with the opposite sign. Hence, any term may be transposed from one member of an equation to the other, provided its sign is cluinyed. It follows from this that the signs of all the terms of an equation may be clianged without...
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The Academic Algebra

William Frothingham Bradbury, Grenville C. Emery - Algebra - 1889 - 444 pages
...member of an equation, reappears in the other with the opposite sign. Hence, any term may bé transposai from one member of an equation to the other, provided its sign is changed. It follows from this that the signs of all the terms of an equation may be changed without destroying...
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College Algebra

Webster Wells - Algebra - 1890 - 560 pages
...members of an equation without destroying the equality. 88 COLLEGE ALGEBRA. 181. Transposition of Terms. A term may be transposed from one member of an equation to the other by changing its sign. For, consider the equation x + a = b. Subtracting a from Iwth members (Art. 180),...
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High School Algebra: Embracing a Complete Course for High Schools and Academies

William James Milne - Algebra - 1892 - 370 pages
...quotients will be equal. 6. Equal powers of equal quantities are equal. 58. PRINCIPLE. — A quantity may be transposed from one member of an equation to the other by changing its sign from + to —, or from — to +. EQUATIONS AND PROBLEMS. 59. 1. 2 x — 3 = x...
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Elements of Algebra: A Course for Grammar Schools and Beginners in Public ...

William James Milne - Algebra - 1894 - 216 pages
...divided by equals, the quotients are equal. 6. Equal powers of equal quantities are equal. 49. PRINCIPLE. A term may be transposed from one member of an equation to the other if its sign is changed from + to — , or from — to +. 43 EQUATIONS AND PROBLEMS. 50. 1. Given 2x...
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A Complete Algebra: For High Schools, Academies and Normal Schools

George Washington Hull - Algebra - 1895 - 358 pages
...one member of the equation to the other, their signs are changed. Hence we have the following RULE. A term may be transposed from one member of an equation to the other if at the same time the sign be changed. EXAMPLES. Transpose and find the value of x in the following...
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A School Algebra: Designed for Use in High Schools and Academies

Emerson Elbridge White - Algebra - 1896 - 418 pages
...to the second member if the sign — be changed to +. 143. In like manner it may be shown that any term may be transposed from one member of an equation to the other, provided its sign be changed. Thus, if 5a; — 8 = 16 + Зж, then 5x - 3x = 16 + 8. .-. 2 ж = 24, and ж = 12. 145....
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