...the second part. From the preceding examples and observations we derive the following principle : Any term may be transposed from one member of an equation to the other, if the sign be changed. 14. A pole is 4 feet in the ground,^ of its whole length under water, and £...

...principles, gives the following practical rules for the resolution of equations. RULE I. (30.) Any term may be transposed from one member of an equation to the other, by changing its sign. Take the equation 5x — 8 = 16 + x. Adding 8 to each member, the equation becomes...

...~~ x" — z-« from fractions and negative exponents. . .4ns. x4aa21 — a31 = a4*z2a — x9". 87. Theorem. A term may be transposed from one member...member, by merely reversing its sign ; that is, it maybe suppressed in one member and annexed to the other member with its sign reversed from + to —...

...necessary to transpose known quantities from the member which contains the unknown quantity. §55. Any term may be transposed from one member of an equation to the other, care being taken to change the sign when we change the side. EQUATIONS. SECTION 4. 1. Reduce the equation...

...together with that established in Art. 7, gives the following general RULE FOR TRANSPOSITION. Art. O. Any term may be transposed from one member of an equation to the other, care being taken to change its sign from — to +, or from + to — . It may be remarked, that the...

...be obtained by removing that term to the other member and changing its sign. Hence, 25. A quantity may be transposed from one member of an equation to the other, by changing its sign. It is plain, also, that any number of terms may be transposed in a similar way...

...side with a contrary sign. From this we may draw the following principle or rule of operation : Any term may be transposed from one member of an equation to the other, by changing its sign. Now 20x=80. ax=e. If we divide both members by the coefficient of the unknown...

...important remarks to be made on the processes employed in the preceding solutions. 1st. Лпу quantity may be transposed from one member of an equation to the other, if we change its sign. This is exemplified in the equation marked (A) in the first example ; 10 having...

...side with a contrary sign. From this we may draw the following principle or rul« of operation : Any term may be transposed from one member of an equation to the other, by changing its sign. Now 20a;=80. ax=-e. If we divide both members by the coefficient of the unknown...

...cleared of fractions by multiplying by the least common multiple of the denominators. 2d. Any quantity may be transposed from one member of an equation to the other by changing its sign. On these two rules depend all the methods of solving such simple equations as...