 | Mathematics - 1836 - 352 pages
...Of Simple Equations, p. 27Art. 108. Equation — members of an equation— simple equations. 109. A quantity may be transposed from one side of an equation to the other, provided its sign be changed. 110. How to clear an equation of fractious. 111. General rule for the... | |
 | James Ryan - Algebra - 1838 - 412 pages
...letters, or numbers, the known quantities. § I. REDUCTION OF SIMPLE EQUATIONS. 161. Any quantity maybe transposed from one side of an equation to the other,...from equal quantities, the sums or remainders will be equals. Thus, if a; + 5 = 12 ; by subtracting 5 from each side, we shall have x+5 — 5 = 12 — 5;... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...these axioms, the following ruleг for the process of solution may be derived : — (239.) L 1 Any term may be transposed from one side of an equation to the other, by changing its sign.1 EXAMPLES. Transpose the known quantities to the second member, and the unknown to the first,... | |
 | John D. Williams - Algebra - 1840 - 634 pages
...by another, its value wilj not be altered. (17.) Any quantity may be transposed from, one side, off an. equation to the other, by changing its sign :...in this transposition, the same quantity is merely sn6tracted from each side of the equation ; and if equals be taken from equals, the remainders are... | |
 | William Foster - 1840 - 92 pages
...will be equal. 4. If equals be divided by the same, the quotients will be equal. RULE I. 7. Any term may be transposed from one side of an •equation to the other by changing its sign. Ex. 1. If x + 3=7 then j=7— 3. Ex. 2. If4x-8=3x+20 then-te— 3*— 20-1-8. PROOF. The same quantity... | |
 | Thomas Grainger Hall - 1840 - 266 pages
...same number, the equality still subsists. RULES FOR THE SOLUTION OF EQUATIONS. 83. RULE 1. Quantities may be transposed from one side of an equation to the other by changing their algebraic sign. Thus, if 2 л;- 5 = 13; then by Axiom I. add 5 to both sides ; .-. 2л; + 5 —... | |
 | John D. Williams - Algebra - 1840 - 216 pages
...proportion - =- ; therefore, (18, Cor. 1,) ad=be.. RULE I. Any term may be transposed or transferred from one side of an equation to the other, by changing its signs.Thus, if z4-3=7 ; then will x=7— 3, or z=4. And, if x— 4+6=8 ; then will z=8+4— 6=6. Also,... | |
 | George Roberts Perkins - Algebra - 1842 - 370 pages
...To transpose a term from one side of an equation to the other, we must observe this RULE. Any term may be transposed from one side of an equation to the other, by changing its sign. EXAMPLES. 1. Clear the equation — — — H26= -- \-2 of fractions, 94 and transpose the terms so... | |
 | Scottish school-book assoc - 1845 - 444 pages
...following rules for the resolution of equations can be derived : — 63. RULE 1. Any quantity can be taken from one side of an equation to the other, by changing its sign. This rule is derived from axioms 1st and 2d, as will appear evident from the following example : Let... | |
 | James Bryce - 1846 - 352 pages
...equation is one which contains the first power only of the unknown quantity. 124. PEOP. I. Any term may be transposed from one side of an equation to the other, if its sign be changed at the same time. Let x-\-a=b, then x=b — a; for this is nothing else than... | |
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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. 
