 | Isaac Todhunter - 1876 - 350 σελίδες
...19 12 12 V + -7 + -^ , th£t » 4 + 3 + 2, that is 9 ; o 4 b which agrees with the second side. 161. Any term may be transposed from one side of an equation to the other side by cftanging its sign. Suppose, for example, that x— a = by. Add a to each side ; then that... | |
 | C R. Lupton - 1879 - 194 σελίδες
...called the root of the equation. To solve an equation is to find the root or roots. 48. Any quantity may be transposed from one side of an equation to the other by changing its signs. Thus, if x + 5 = 8 ; and 5 be subtracted from each side, then ая-5 — 6 =... | |
 | George Albert Wentworth - 1881 - 406 σελίδες
...same as if b were transposed to the other side of the equation with its sign changed. Therefore, 115. Any term may be transposed from one side of an equation to the other provided its sign be changed. For, in this transposition, the same number is subtracted from each side of the equation.... | |
 | 1881 - 504 σελίδες
...an equation be multiplied or divided by the same quantity the results are equal. (ii) Any quantity may be transposed from one side of an equation to the other by changing its sign. (iii) If the sign of every term in an equation be changed the equality still... | |
 | Webster Wells - 1885 - 370 σελίδες
...diminished, multiplied, or divided by the same quantity, without destroying the equality. TRANSPOSITION. 172. Any term may be transposed from one side of an equation to the other by changing its sign. For, consider the equation x + a = b. Subtracting a from both members (Art. 171),... | |
 | Webster Wells - 1885 - 368 σελίδες
...diminished, multiplied, or divided by the same quantity, without destroying the equality. TRANSPOSITION. 172. Any term may be transposed from one side of an equation to the other by changing its sign. For, consider the equation x + a = b. Subtracting a from both members (Art. 171),... | |
 | Webster Wells - 1885 - 372 σελίδες
...diminished, multiplied, or divided by the same quantity, without destroying the equality. TRANSPOSITION. 172. Any term may be transposed from one side of an equation to the other by changing its sign. For, consider the equation х + а*=Ъ. Subtracting a from both members (Art.... | |
 | George Albert Wentworth - 1886 - 284 σελίδες
...same as if ¿ were transposed to the other side of the equation with its sign changed. Therefore, 114. Any term may be transposed from one side of an equation to the other provided its sign be changed. For, in this transposition, the same number is subtracted from each side of the equation.... | |
 | William Steadman Aldis - 1887 - 616 σελίδες
...sign + . Hence a general rule arises from the use of Axioms (1) and (2), that any term may be taken from one side of an equation to the other provided its sign be changed. As a special case a term which occurs on both sides with the same sign may be removed from... | |
 | Charles Smith - 1888 - 680 σελίδες
...same quantity to both its members. For it is clear that A + m = В + m when, and only when, A = B. II. Any term may be transposed from one side of an equation to the other, provided its sign be changed. Let the equation be a + b — c=p — q + r. Add — p + q — r to both sides; then a... | |
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Any term may be transposed from one side of an equation to the other provided its sign be changed. 
