 | Isaac Dalby - Mathematics - 1806 - 526 pages
...side of the equation we have x — 7 + 7 = 22 4- 7 {Ax. I.) or x = 29 the value required. Therefore, any quantity may be transposed from one side of an equation to the other, by changing its sign. For *— 7=22: And * =s 22 + 7, where 7 is transposed front one side of the equation to the other,... | |
 | John Bonnycastle - Algebra - 1818 - 284 pages
...arising out of the several examples annexed to the :;ix different cases given in the text. CASE I. Any quantity may be transposed from one side of an equation to the other, by changing its sign ; and the two members, or sides, will stilt be equal. Thus, if z+3=7 ; then will a=7— 3, or ar=4.... | |
 | Miles Bland - Geometry - 1821 - 898 pages
...(16.) If a quantity be both multiplied and divided by another, its value will not be altered. (17.) Any quantity may be transposed from one side of an equation to the other, by changing its sign : Thus, if x + 9 = 15, and 9 be subtracted from each side, x = 15 — 9, or 6. Also, if x + b = a,... | |
 | James Ryan - Algebra - 1824 - 550 pages
...known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. • 186. Any quantity may be transposed from owt side of an equation to the other, by changing its...subtracted from equal quantities, the sums or remainders wilt be equal. Thus, if # + 5 = 12 ; by subtracting 5 from each side, we shall have a; + 5—5 = 12... | |
 | Miles Bland - Algebra - 1824 - 404 pages
...(16.) If a quantity be both multiplied and divided by another, its value will not be altered. (17.) Any quantity may be transposed from one side of an...in this transposition, the same quantity is merely subtracted from each side of the equation ; and (12) if equals be taken from equals, the remainders... | |
 | Charles Tayler - 1824 - 350 pages
...that if equnls be subtracted from equals, the remainders will be equal. For, to transpose a quantity from one side of an equation to the other, by changing its sign, is nothing more than to subtract the same quantity from each side of it. Thus, in the example, by transposing... | |
 | Edward Riddle - Nautical astronomy - 1824 - 572 pages
...c, then a = с — b ; and if a = с — b, then с = b + a. Whence a term, or any number of terms, may be transposed from one side of an equation to the other, without destroying the equality, by changing the sign of each term so transposed. Again, if 9 + 4 =... | |
 | John Bonnycastle - Algebra - 1825 - 336 pages
...axioms and processes are required, the most useful and necessary of which are the following :* CASE I. Any quantity may be transposed from one side of an equation to the other, by changing its sign ; and the two members, or sides, will 'till be equal. Thus, if #+3=7 ; then will *=7 — 3, or z=4.... | |
 | Charles Brooke - Mathematics - 1829 - 386 pages
...solution of equations. The same quantity may be added to, or subtracted from, both sides of an equation. Any quantity may be transposed from one side of an equation to the other, its sign being changed. The signs of all the terms may be changed. Every term may be multiplied, or... | |
 | James Ryan, Robert Adrain - Algebra - 1835 - 388 pages
...and the other letters, or numbers, the known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. I 161. Any quantity may be transposed from one side of an...quantities, the sums or remainders will be equal. Thus, if x -f-5 = 12 ; by subtracting 5 from each side, we shall have a;4-5-5=12— 5; but 5— 5=0, and 12—... | |
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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. 
