 | C R. Lupton - 1879 - 194 pages
...equation, is 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 =... | |
 | Education, Higher - 1881 - 504 pages
...each side of 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... | |
 | George Albert Wentworth - Algebra - 1881 - 406 pages
...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... | |
 | Webster Wells - Algebra - 1885 - 370 pages
...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 pages
...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 - Algebra - 1885 - 372 pages
...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 - Algebra - 1886 - 284 pages
...¿ 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... | |
 | Charles Smith - Algebra - 1888 - 680 pages
...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... | |
 | George Albert Wentworth - Algebra - 1888 - 514 pages
...if like roots of the two members be taken, the results will be equal numbers (§ 18). 86. Any term may be transposed from one side of an equation to the other, provided its sign be changed. Suppose we have x -f- a = b. Now, a = a, Subtract, x = b — a. The a... | |
 | Webster Wells - Algebra - 1889 - 584 pages
...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.... | |
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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. 
