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

...x" — x~ " from fractions and negative exponents. Ans. x 4 "a 2 * — a 2l =:a 4 *x 2 " — x 2 ". 117. Theorem. A term may be transposed from one member...annexed to the other member with its sign reversed from -f- to — , or from — to -f- . Proof. For suppressing it in the member in which it at first occurs...

...a~* a*.\.a~x x" — z~" from fractions and negative exponents. Ans. z4oa21 — a2x = a4lx2" — i2". 117. Theorem. A term may be transposed from one member...annexed to the other member with its sign reversed from -f to — , or from — to _j- . Proof. For suppressing it in the member in which it at first occurs...

...preceding principle with that given in Art. 17, we have the following GENERAL RULE FOR TRANSPOSITION. Any term may be transposed from one member of an equation to the other, provided its sign be changed from -f- to — , or from — to -\-. , ART. 31* 1. B was 10 years older...

...«54:. From the first of the above principles it follows that by changing the sign of any quantity it may be transposed from one member of an equation to the other, without destroying the equality. Thus, in the equation 4 x — 20 = 3 x + 56, the addition of 20 to...

...sign of addition. 106. Therefore, for the transposition of the terms, we have the following RULE. Any term may be transposed from one member of an equation to the other, if the sign be changed. 105. What is transposition ? EXAMPLES. Transpose the unknown terms to the first...

...diminished by 8 : hence, 2z = 36 - 8 = 28 28 , or x = — = 14. ii Hence, we see that a plus number may be transposed from one member of an equation to the other, by simply chang ing its sign to minus. Let x denote the son's age : then 2ж will denote the father's...

...and Charles' share = 10 — 5 = 5. REMARK. — We see from the above example, that a negative number may be transposed from one member of an equation to the other by simply changing its sign to plus. 2. A person goes to a tavern where he spends three shillings :...

...preceding principle with that given in Art. 17, we have the following GENERAL RULE FOR TRANSPOSITION. Any term may be transposed from one member of an equation to the other, provided its sign be changed from -j- to —, or from — to -f-. ART. 31. 1. B was 10 years older...

...Hence, for changing the sign or place of any term of an equation we have the following RULE. I. Any term may be transposed from one member of an equation to the other by changing its sign; (1, 2). II. Any term may be transposed -without changing its sign, provided the...