 | Joseph Ray - 1852 - 422 σελίδες
...and — dx to the opposite members of the equation, and at the »ame time changed their signs. Hence, Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign be changed. This is termed the Rule of Transposition. TO CLEAR AN EQUATION... | |
 | Joseph Ray - 1866 - 250 σελίδες
...also the same as if we had transposed the term +6, to the opposite side, changing its sign. Hence, Any quantity may be transposed from one side of an equation to the other, if, at the tame time, its sign be changed. TO CLEAR AN EQUATION OF FRACTIONS. 154. — 1. Let it be... | |
 | Isaac Todhunter - 1866 - 580 σελίδες
...may multiply by 12, which is the L. с. м. of 2, 3 and 4. Thus we obtain at once За; =156. 156. Any quantity may be transposed from one side of an equation to the other side by changing its sign. Thus suppose x — a = b—y. Add a to each side (Art. 98) ; then that is,... | |
 | Isaac Todhunter - 1870 - 818 σελίδες
...2 x 3 x 4 we may multiply by 12, which is the L. с. м. of 2, 3 and 4. Thus we obtain at once 156. Any quantity may be transposed from one side of an equation to the other side by changing its sign. Thus suppose x — a = b — y. Add a to each side (Art. 98) ; then x —... | |
 | American Institute of Instruction - 1870 - 144 σελίδες
...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 σελίδες
...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... | |
 | William Nathaniel Griffin - 1871 - 330 σελίδες
...cancelling 2^2 + 3 from each member we have then *2 + 2 = y?. F 136. Transposition. — By i. and ii. a quantity may be transposed from one side of an equation to the other, if only its sign be changed. If X*—2x2 + 3 = X*+X, add to each member 2x2 (i) then л:3— 2л:2... | |
 | Lewis Hensley - 1875 - 274 σελίδες
...comprised under the following general 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 σελίδες
...(A), we see that the 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... | |
 | James Martin (of the Wedgwood inst, Burslem.) - 1875 - 134 σελίδες
...7= 17 + 7; but —7 + 7 = 0, :. 3x = 17 + 7 = 24, .'. x = 8. In this example also we see that a term may be transposed from .one side of an equation to the other, by changing its sign ; eg, Zx— 7 = 17 become» (1.) Given 5# + 6 = 26; (2.) Given x + 8= 15; (3.) Given 9#+ 13 = 31; (4.)... | |
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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. 
