...Conclufions as anlwer the Conditions of Problems. • ' CASE I. Any Quantity may be tranfpofed or moved from one Side of an Equation to the other, if its Sign be changed j this is nothing more in Effe& than to add the fajne Qaantity tity with a contrary Sign on...

...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...

...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...

...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....

...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 : Because, in this transposition, the same quantity is merely subtracted from...

...other letters, or numbers, the known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. 186. Any quantity may be transposed from one side of an equation to the other, by changing its sign. Because, in this transposition, the same quantity is merely added to or subtracted...

...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 =...

...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...

...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...

...letters, or numbers, the known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. I 161. Any quantity may be transposed from one side of an equation to the other, by changing its sign. Because, in this transposition, the same quantity is merely added to or subtracted...