...and all the rest, or the known quantities, on the other side. RULE 1.* Any quantity may be transposed from one side of the equation to the other, by changing its sign. * These are founded on the general principle of performing equal operations on equal quantities, \vhen...

...the unknown quantity, which is shewn in the following rules. RULE 1. Any quantity may be transposed from one side of the equation to the other, by changing its sign. Thus, if H-3=7, then will r=7— 3=4. And, if r— 4+6=8, then will r=8+4 — 6=6. Also, if r — a+£=*r...

...the unknown quantity, which is shown in the following rules. RULE I. Any quantity may be transposed from one side of the equation to the other by changing its sign. Thus, ifx-\-3=7, then will x = 7 — 3 = 4. And, if x — 4 + 6 = 8, then will * = 8 + 4 — 6 = 6....

...rules absolutely necessary for the solution of simple equations containing only one unknown quantity may be reduced to four, and may be arranged in the...equation to the other, by changing its sign ;" and and it is founded upon the axiom, that " if equals be added to " or subtracted from equals, the sums...

...them to the form of x—b — a, containing on one side x alone; viz. that Any quantity may be removed from one side of the equation to the other, by changing its sign. This rule is founded upon the known axiom, that if equnls be subtracted from equals, the remainders...

...Rules absolutely necessary for the solution of simple equations containing only one unknown quantity may be reduced to four, and may be arranged in the...be added to " or subtracted from equals, the sums от remainders will be " equal." Ex. 1. Let x + 8 = 15 ; subtract 8 from each side of the equation,...

...2rf, - x — 7 = 9, - - - - *= 9 + 7. 3d, - 3* — 6 = 2.r+2, - - Sx— 2*= 2 + 6. Hence it follows, that any quantity may be transferred from one side...of the equation to the other by changing its sign. In the first of the above examples, it is manifest that x = 7 ; in the second x = 16 ; and, in the...

...divisor. In this way the equation may be cleared of fractions. RULE 2. — Any term may be transposed from one side of the equation to the other, by changing its sign from + to — , or from — to -(-. In this way the terms containing the unknown quantity may be brought...

...Rules absolutely necessary for the solution of simple equations containing only one unknown quantity may be reduced to four, and may be arranged in the...changing its sign ;" and it is founded upon the axiom, " if equals be added to or subtracted from equals, the sums or remainders will be equal." Ex. 1. Let...

...the divisor. In this way the equation may be cleared of fractions. RULE 2. Any term may be transposed from one side of the equation to the other, by changing its sign from + to — , or from — to+. In this way the terms containing the unknown quantity may be brought...