| 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,... | |
| 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.... | |
| 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,... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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... | |
| 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,... | |
| 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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