 | Webster Wells - Algebra - 1889 - 584 pages
...multiplied, or divided by the same quantity, without destroying the equality. TRANSPOSITION. 172. Any term may be transposed from one side of an equation to the other by changing its sign. For, consider the equation x + a — b. Subtracting a from both members (Art. 171), we have x + a — a... | |
 | George Albert Wentworth - Algebra - 1891 - 380 pages
...sign changed. We can proceed in a like manner in any other case. Hence the general rule : 93. Any term may be transposed from one side of an equation to the other provided its sign is changed. 94. Any term, therefore, which occurs on both sides with the same sign... | |
 | George W. Lilley - Algebra - 1892 - 420 pages
...b. In each case b is transposed from one side to the other, but its sign is changed. Hence, Any term may be transposed from one side of an equation to the other, provided its sign be cJuinged. EXAMPLE. Solve (x + 1) (x + 2) (x + 6) - (x - 2) (x + 2) = Xs + 9 x*... | |
 | Henry William Lovett Hime - Quaternions - 1894 - 240 pages
...= - (+ a). Also, since AC - AB = BC, and ÄC = BC + ÄB; it follows that a vector may be tranferred from one side of an equation to the other by changing its sign. 14°. Since BC + AB =ÄC, 12°, it follows that directions can be assigned to the sides of any triangle,... | |
 | George Albert Wentworth - Algebra - 1894 - 208 pages
...sign changed. We can proceed in a like manner in any other case. Hence the general rule : 52. Any term may be transposed from one side of an equation to the other, provided its sign is changed. 53. Any term, therefore, which occurs on both sides with the same sign... | |
 | George P. Lilley - Algebra - 1894 - 522 pages
...b. In each case b is transposed from one side to the other, but its sign is changed. Hence, Any term may be transposed from, one side of an equation to the other, provided its sign be changed. EXAMPLE. Solve (x + 1) (j + •>) (.г- + 6) - (x - 2) (z + 2) = a»... | |
 | Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 482 pages
...equation that we abbreviate into the mechanical form and call it Transposition. Any term of an equation may be transposed from one side of an equation to the other, provided the sign of the term be changed. The main object of transposition of terms is to get all the... | |
 | Edwin James Houston, Arthur Edwin Kennelly - Mathematics - 1898 - 120 pages
...= c (5) then a+bb=cb (6) or, a = c — b (7) From this it is evident that we may carry over a term from one side of an equation to the other by changing its sign ; for, in equation (5) the positive quantity b, is on the left-hand side of the equation, whereas in equation... | |
 | George Albert Wentworth - 1898 - 436 pages
...changed its sign. We can proceed in like manner in any other case. Hence, the general rule : 53. Any term may be transposed from one side of an equation to the other, provided its sign is .changed. It follows from axioms 1 and 2 that : 54. Any term that occurs with... | |
 | Seymour Eaton - 1899 - 362 pages
...equals, the products are equal. 4. If equals are divided by equals, the quotients are equal. Any term may be transposed from one side of an equation to the other by changing its sign. Thus : 3 x — 8 = x + 12. Therefore, 3 x — x = 12 + 8, and 2 x = 20, and x = 10. In this example,... | |
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Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign, be changed. 
