...= 4 feet more than twice the width, the perimeter •» 56 feet. The length = feet. 8—12—16 19. Any term may be transposed from one side of an equation to the other, provided its is changed. sign — value. 20. Any equation which contains no higher power of the unknown letter than...

...sides by 8 gives From what we have just seen we may state the following general principle. PRINCIPLE. Any term may be transposed from one side of an equation to the other, provided its sign is changed. HISTORICAL NOTE. Our word algebra comes from the Arabic word al-gebr, meaning "to restore."...

...rectangle = 4 feet more than twice the width, the perimeter = 56 feet. The length = feet. 8—12—16 19. Any term may be transposed from one side of an equation to the other, provided its is changed. sign — value 20. Any equation which contains no higher power of the unknown letter than...

...important application of Principles 1 and 2 is transposition, which has already been mentioned on p. 18. A term may be transposed from one side of an equation to the other side if its sign is changed. Thus, in solving the equation 8 x .- 6 = 5 x + 12, we find, by transposition,...

...without destroying the equality. 8. The whole of anything is equal to the sum of all its parts. 9. A term may be transposed from one side of an equation to the other, provided its sign is changed. 10. If the same term preceded by the same sign occurs in both sides of an equation, that...

...Logical System under consideration is, that, in the latter as well as in the former, a literal symbol may be transposed from one side of an equation to the other by changing the sign of operation, + or -. But there is an important relation which subsists in the...

...Likewise, a negative term can be transposed by changing its sign from negative to positive. Hence, any term may be transposed from one side of an equation to the other by changing its sign. If b = L - 70 in then b + 70 in = L This may also be explained in another way,...

...the opposite members of the equation, and, at the same time, changed their signs. Hence, Any quantity may be transposed from, one side of an equation to the other, if, at ike same time, its siyn be changed. TO CLEAR AN EQUATION OF FRACTIONS. ART. 154. — 1. Let...

...the opposite members of the equation, and, at the same time, changed their signs. Hence, Any quantity may be transposed from one side of an equation to the other, if, at the same time, its sign be changed. TO CLEAR AN EQDATION OF FRACTIONS. ART. 154. — 1. Let...