 | Isaac Dalby - 1806 - 526 σελίδες
...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 - 1818 - 284 σελίδες
...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 - 1821 - 898 σελίδες
...remainders will be equal. (13.) If equal quantities be multiplied by the same or equal quantities,'the products will be equal. (14.) If equal quantities...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, Robert Adrain - 1824 - 542 σελίδες
...and the other letters, or numbers, the known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. 186. Any quantity may be transposed from one side of an...in this transposition, the same quantity is merely added to or subtracted from each side of the equation ; and, (Art. 48, 49,) if equals be added to or... | |
 | James Ryan - 1824 - 550 σελίδες
...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...in this transposition, the same quantity is merely added to or subtracted from each side of the equation ; and, (Art. 48, 49,) if equals be added to or... | |
 | Charles Tayler - 1824 - 350 σελίδες
...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 - 1824 - 572 σελίδες
...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 - 1825 - 336 σελίδες
...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 - 1829 - 386 σελίδες
...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 - 1835 - 388 σελίδες
...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...in this transposition, the same quantity is merely added to or subtracted from each side of the equation ; and, (Art. 48, 49,) if equals be added to or... | |
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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. 
