| Isaac Dalby - Mathematics - 1806 - 526 pages
...side of the equation we have x — 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
...arising out of the several 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
...remainders will be equal. (13.) If equal quantities be multiplied by the same or equal quantities,'the **products will be equal. (14.) If equal quantities...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,... | |
| James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...and the other letters, or numbers, the known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. 186. **Any quantity may be transposed from one side of an...in this transposition, the same quantity is merely** added to or subtracted from each side of the equation ; and, (Art. 48, 49,) if equals be added to or... | |
| James Ryan - Algebra - 1824 - 548 pages
...known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. • 186. Any quantity may be transposed from owt **side of an equation to the other, by changing its...in this transposition, the same quantity is merely** added to or subtracted from each side of the equation ; and, (Art. 48, 49,) if equals be added to or... | |
| 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... | |
| Edward Riddle - Nautical astronomy - 1824 - 572 pages
...c, then a = с — b ; and if a = с — b, then с = b + a. Whence a term, or any number of terms, **may be transposed from one side of an equation to the other,** without destroying the equality, by changing the sign of each term so transposed. Again, if 9 + 4 =... | |
| John Bonnycastle - Algebra - 1825 - 336 pages
...axioms and processes are required, 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.... | |
| Charles Brooke - Mathematics - 1829 - 388 pages
...solution of equations. The same quantity may be added to, or subtracted from, both sides of an equation. **Any quantity may be transposed from one side of an equation to the other,** its sign being changed. The signs of all the terms may be changed. Every term may be multiplied, or... | |
| James Ryan, Robert Adrain - Algebra - 1835 - 388 pages
...and the other letters, or numbers, the known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. I 161. **Any quantity may be transposed from one side of an...in this transposition, the same quantity is merely** added to or subtracted from each side of the equation ; and, (Art. 48, 49,) if equals be added to or... | |
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