 | Charles Smith - Algebra - 1894 - 620 pages
...from — to + . We can proceed in a similar manner in any other case ; hence any term may be moved from one side of an equation to the other, provided its sign is chaiiyed. When terms are changed from one side of an equation to the other side, they are said to... | |
 | 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 terms... | |
 | George Albert Wentworth - Algebra - 1898 - 434 pages
...and 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 the same sign on both... | |
 | George Albert Wentworth - 1898 - 514 pages
...roots of the two members be taken, the results will be equal numbers (§ 18). f 86. Any term may bе transposed from one side of an equation to the other, provided its sign be changed. Suppose we have x + a = b. Now, a — a. Subtract, x = b — a. The a which appeared in the left member... | |
 | George Albert Wentworth - Algebra - 1899 - 520 pages
...powers, or if like roots of the two members be taken, the results will be equal numbers (§ 18). 86. Any term may be transposed from one side of an equation to the other, provided its si'jn be changed. Suppose we have x + a = b. Now, a = a. Subtract, x = b — a. The a which appeared... | |
 | Seymour Eaton - 1899 - 362 pages
...multiplied by 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
...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... | |
 | George Albert Wentworth - Algebra - 1902 - 548 pages
...to like powers, or ii like roots of the two members are taken, the resulte are equal numbers. 126. Any term may be transposed from one side of an equation to the other, provided its sign is changed. Suppose x + a = b. Suppose x — a = b. Now, a = a. Now, a = a. Subtract, x = b — a.... | |
 | George Albert Wentworth - Algebra - 1902 - 548 pages
...to like powers, or if like roots of the two members are taken, the results are equal numbers. 126. Any term may be transposed from one side of an equation to the other, provided ita sign is chanyсd. Suppose x + a = b. Suppose x — a = b. Now, a = a. Now, a — a. Subtract, x... | |
 | Charles Austin Hobbs - Algebra - 1905 - 158 pages
...2, and 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 с — b = x —... | |
| |
Any term may be transposed from one side of an equation to the other provided its sign be changed. 
