 | Barnard Smith - 1857 - 740 pages
...one unknown quantity, may be reduced to the four following : RULE 1. Any quantity may be transferred from one side of an equation to the other, by changing its sign. This rule is founded on Ax. 1. Let x + a = b, Subtract a from each side of the equation. Then & + a... | |
 | Archibald Montgomerie - Algebra - 1857 - 116 pages
...equals, the quotients are equal. General Principles. — 1. Any quantity may be transposed from the one side of an equation to the other by changing its sign. 2. A coefficient or multiplier may be removed by dividing both sides of the equation by it. 3. An equation... | |
 | James B. Dodd - Algebra - 1859 - 368 pages
...found i in its lowest terms. L . Transposition and Addition of Terms. (116.) Any term may be transposed from one side of an Equation to the other by changing its sign. — All the similar terms may thus be placed on the same side, and then added together. In the last... | |
 | Philip Kelland - Algebra - 1860 - 308 pages
...of equals are equal (A), From the first and second axiom, we conclude that a quantity may be taken from one side of an equation to the other, by changing its sign : For, 1st, let P - a = Q represent the equation, then, by adding a to each side, P — a + a = Q +... | |
 | American Institute of Instruction - Education - 1870 - 144 pages
...exhibited. In algebra, for instance, it was insisted that a term was transposed, that is, carried over from one side of an equation to the other, by changing its sign, whereas the idea is, that it is cancelled from one side, and a compensation made on the other, by addition... | |
 | American Institute of Instruction - 1870 - 144 pages
...exhibited. In algebra, for instance, it was insisted that a term was transposed, that is, carried over from one side of an equation to the other, by changing its sign, whereas the idea is, that it is cancelled from one side, and a compensation made on the other, by addition... | |
 | James Martin (of the Wedgwood inst, Burslem.) - 1875 - 134 pages
....'. Зх = 26 — 5 = 21, .'. x = 7. Note. — From the above we see that a term may be transposed from one side of an equation to the other, by changing its sign ; eg, 3#+ 5 = 26 becomes 3x =26 — 5. EXERCISE LVI. 55. Given 3x — 7 = 17; to find the value of... | |
 | Lewis Hensley - Algebra - 1875 - 274 pages
...principle, which is much used in the solution of equations : viz. I. Any quantity may be transposed from one side of an equation to the other by changing its sign. X Again, suppose we have — = 5, the two sides being equals will o remain equals if we multiply them... | |
 | Charles Mansford - 1875 - 110 pages
...a and Ъ have been made to change sides by changing their signs. Hence, Any term may be transposed from one side of an equation to the other by changing its sign. transpose the x aiso. The equation would still be true if we changed the sign of the x, and would become... | |
 | 1877 - 188 pages
...side of the first equation, and adding 8 to each side of the second, we obtain in each case a;=12, hence is deduced a rule for facilitating the reduction...127. Since an equation is not altered by dividing or multiply. ing each side by the same number, if 2 x = 12 and „ = 2, dividо ing each side of the first... | |
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Any term may be transposed from one side of an equation to the other by changing its sign. 
