 | 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*... | |
 | 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... | |
 | 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... | |
 | Adelia Roberts Hornbrook - Arithmetic - 1900 - 428 pages
...133. Study the solutions of Exs. 130 and 131 until you see the truth of the following principle: A quantity may be transposed from one side of an equation to the other if the sign prefixed to the quantity is changed from plus to minus or from minus to plus. When no sign... | |
 | Charles Austin Hobbs - Algebra - 1905 - 158 pages
...we have x — a + a = b + a. That is, x = b + a. applies to any term of an equation. Hence, any term may be transposed from one side of an equation to the other, provided its sign is changed. If we transpose all the terms of the equation a — x = b — c, we have... | |
 | George Albert Wentworth - Algebra - 1906 - 440 pages
...and all the other terms to the other side. This process is called transposing the terms. 56. Any term may be transposed from one side of an equation to the other provided the sign of the term is changed. 1. Find the number for which x stands when x - b = a. •... | |
 | Fletcher Durell, Edward Rutledge Robbins - Algebra - 1909 - 296 pages
...equation that we abbreviate into the mechanical form and call it Transposition. Any term of on 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... | |
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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. 
