 | 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,... | |
 | 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. •... | |
 | 1908 - 650 pages
...ж8-1/а-га. 3. Solve the equation : — 4. How would you show that any quantity may be transferred from one side of an equation to the other by changing its sin? 5. Find the value of — /vY + ^54" _ /Vf-^Sy \Vf~-Vb) ' W7 + V5/' 6. Find the square root of... | |
 | 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... | |
 | William Charles Brenke - Algebra - 1910 - 374 pages
...and Y are selected. If X + m = Y, then subtracting m from both members, X = Y - m. That is, a term may be transposed from one side of an equation to the other provided its sign is changed at the same time. When the members of an equation involve sums or differences... | |
 | Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - Arithmetic - 1913 - 234 pages
...the square root of both sides of this equation, giving us 21. Rules of Transformation. — 1. A term may be transposed from one side of an equation to the other by changing its sign. 2. If equal quantities are added to equal quantities, the sums are equal. 3. // equal quantities are... | |
 | Ernest McCullough - Surveying - 1915 - 466 pages
...side of the equation and the unknown quantities on the other side. Then collect by addition. Any term may be transposed from one side of an equation to the other by changing its sign from + to — , or from — to + . // a term be found on both sides with the same sign it should be... | |
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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. 
