 | Isaac Dalby - Mathematics - 1806 - 526 pages
...— 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,... | |
 | John Bonnycastle - Algebra - 1818 - 284 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.... | |
 | Miles Bland - Geometry - 1821 - 898 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,... | |
 | Charles Tayler - 1824 - 350 pages
...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... | |
 | Miles Bland - Algebra - 1824 - 404 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... | |
 | James Ryan, Robert Adrain - Algebra - 1824 - 542 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... | |
 | John Bonnycastle - Algebra - 1825 - 336 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.... | |
 | James Ryan, Robert Adrain - Algebra - 1835 - 388 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... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...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,... | |
 | William Foster - 1840 - 92 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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Any term may be transposed from one side of an equation to the other by changing its sign. 
