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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. "
An Elementary Treatise on Algebra, Theoretical and Practical ... - Σελίδα 96
των James Ryan, Robert Adrain - 1835 - 361 σελίδες
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Grammar School Arithmetic

Adelia Roberts Hornbrook - 1900 - 428 σελίδες
...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...

An Algebra for Grammar Schools

Charles Austin Hobbs - 1905 - 158 σελίδες
...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...

Elementary Algebra

George Albert Wentworth - 1906 - 440 σελίδες
...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. •...

Annual Report of the Commissioners ..., Τόμος 74

1908 - 650 σελίδες
...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...

A Grammar School Algebra

Fletcher Durell, Edward Rutledge Robbins - 1909 - 296 σελίδες
...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...

A Text-book on Advanced Algebra and Trigonometry, with Tables

William Charles Brenke - 1910 - 376 σελίδες
...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...

Shop Mathematics ...: Advanced shop mathematics

Earle Bertram Norris, Kenneth Gardner Smith, Ralph Thurman Craigo - 1913 - 234 σελίδες
...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...

Practical Surveying for Surveyors' Assistants, Vocational, and High Schools

Ernest McCullough - 1915 - 466 σελίδες
...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...

Mathematics for the Practical Man: Explaining Simply and Quickly All the ...

George Howe - 1915 - 168 σελίδες
...с — b + d, or into the form a — d = с — b, or into the form — d = с — a — b. Any term may be transposed from one side of an equation to the other simply by changing its sign. spending sides are added to one another; thus, a + с — b when added...

Advanced Algebra

William Charles Brenke - 1917 - 212 σελίδες
...quantities are equal. If X + m = F, ; then subtracting m from both members, X = F - 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...




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