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" Any term may be transposed from one side of an equation to the other by changing its sign. "
Annual Meeting of the American Institute of Instruction - Page 16
by American Institute of Instruction - 1870
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A Course of Mathematics ...: Designed for the Use of the Officers ..., Volume 2

Isaac Dalby - Mathematics - 1806
...— 7 + 7 = 22 4- 7 {Ax. I.) or x = 29 the value required. Therefore, any quantity may be transposed from one side of an equation to the other, by changing its sign. For *— 7=22: And * =s 22 + 7, where 7 is transposed front one side of the equation to the other,...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 260 pages
...examples annexed to the :;ix different cases given in the text. CASE I. Any quantity may be transposed from one side of an equation to the other, by changing its sign ; and the two members, or sides, will stilt be equal. Thus, if z+3=7 ; then will a=7— 3, or ar=4....
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

Miles Bland - Geometry - 1821 - 438 pages
...multiplied and divided by another, its value will not be altered. (17.) Any quantity may be transposed from one side of an equation to the other, by changing its sign : Thus, if x + 9 = 15, and 9 be subtracted from each side, x = 15 — 9, or 6. Also, if x + b = a,...
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Algebraical Problems, Producing Simple and Quadratic Equations, with Their ...

Miles Bland - Algebra - 1824 - 383 pages
...multiplied and divided by another, its value will not be altered. (17.) Any quantity may be transposed from one side of an equation to the other, by changing its sign : Because, in this transposition, the same quantity is merely subtracted from each side of the equation...
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Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824
...that if equnls be subtracted from equals, the remainders will be equal. For, to transpose a quantity from one side of an equation to the other, by changing its sign, is nothing more than to subtract the same quantity from each side of it. Thus, in the example, by transposing...
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan, Robert Adrain - Algebra - 1824 - 516 pages
...numbers, the known quantities. I. REDUCTION OF SIMPLE EQUATIONS. 186. Any quantity may be transposed from one side of an equation to the other, by changing its sign. Because, in this transposition, the same quantity is merely added to or subtracted from each side of...
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An Introduction to Algebra: With Notes and Observations, Designed for the ...

John Bonnycastle - Algebra - 1825 - 312 pages
...the most useful and necessary of which are the following :* CASE I. Any quantity may be transposed from one side of an equation to the other, by changing its sign ; and the two members, or sides, will 'till be equal. Thus, if #+3=7 ; then will *=7 — 3, or z=4....
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An Elementary Treatise on Algebra, Theoretical and Practical ...

James Ryan, Robert Adrain - Algebra - 1835 - 361 pages
...numbers, the known quantities. I. REDUCTION OF SIMPLE EQUATIONS. I 161. Any quantity may be transposed from one side of an equation to the other, by changing its sign. Because, in this transposition, the same quantity is merely added to or subtracted from each side of...
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839
...following ruleг for the process of solution may be derived : — (239.) L 1 Any term may be transposed from one side of an equation to the other, by changing its sign.1 EXAMPLES. Transpose the known quantities to the second member, and the unknown to the first,...
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Elements of algebra

William Foster - 1840 - 80 pages
...If equals be divided by the same, the quotients will be equal. RULE I. 7. Any term may be transposed from one side of an •equation to the other by changing its sign. Ex. 1. If x + 3=7 then j=7— 3. Ex. 2. If4x-8=3x+20 then-te— 3*— 20-1-8. PROOF. The same quantity...
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