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" Find the value of one of the unknown quantities, in terms of the other and known quantities... "
An Elementary Treatise on Algebra: Theoretical and Practical ... - Σελίδα 146
των James Ryan - 1826 - 383 σελίδες
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The elements of algebra

Andrew Bell (writer on mathematics.) - 1839
...these values, that is, make them the members of an equation ; a new equation is thus formed, containing only one unknown quantity, the value of which may be found as before. It is indifferent which of the unknown quantities is chosen as the one whose values are equated,...

A Practical System of Algebra in Theory and Practice in Two Parts: With a ...

John D. Williams - 1840 - 193 σελίδες
...equation by 5, and the second by 2, and then subtracting the second from the first. 2. By substitution. Find the value of one of the unknown quantities, in...obtained in which there is only one unknown quantity. Thus in the first of the preceding examples ; from the second equation, *=16 — 4y ; substituting...

Elements of algebra

William Foster - 1840 - 80 σελίδες
...for y in (B), 9x— 12=96 .-. 9x=108 and «=12 .-. jr=12andy=6. RULE II. In either of the equations, find the value of one of the unknown quantities in terms of the other and of the known quantities : for it, substitute this value in the other equation, and there will result...

An Elementary Treatise on Algebra, in Theory and Practice: With Attempts to ...

John D. Williams - 1840 - 605 σελίδες
...the possible values of x and у in integer numbers, suppose the numbers a, b, c, prime to each other. Find the value of one of the unknown quantities in terms of the other. Thus, if the equation be ax — by=c, then by-\-c , . . ' • '.í>y — -c ' x =1-^-1 — ; or, ax-4-by=c,...

The principles of arithmetic. [Followed by] The principles of algebra

Wales Christopher Hotson - 1842
...unknown quantity may be obtained by any of the following methods. First Method. In either equation, find the value of one of the unknown quantities in terms of the other and known quantities, and for it substitute this value in the other equation, which will then contain only one unknown quantity;...

Elimination Between Two Unknown Equations with Two Unknown Quantities, by ...

Francis Henney Smith - 1842 - 59 σελίδες
...and we should, in general, obtain a determinate number of solutions. It would be only necessary to find the value of one of the unknown quantities in terms of the others, in one of the equations, and substitute this value in each of the other equations ; there would...

The first principles of algebra, for the use of the boys of the Royal ...

Admiralty - 1845
...of '2 to 3. The parts are found to be 12 and 18. 67. Rule 2. — From either of the given equations, find the value of one of the unknown quantities in terms of the other quantities ; substitute this value for the same quantity in the other equation ; which equation will...

A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845
...only the other unknown, from which its value can be found by the previous rules. 74. RULE III. Find a value of one of the unknown quantities in terms of the other from one of the equations, and substitute this value instead of it in the other, from which there will...

The elements of algebra, with additions by W. Galbraith and W. Rutherford

John Bonnycastle - 1848
...methods may be employed for the solution of such equations. First method. — Find the value of either of the unknown quantities in terms of the other and known quantities from each equation ; then put these two values equal to each other, and there will be formed an equation...

An introduction to algebra, and to the solution of numerical equations

John Radford Young - 1851 - 12 σελίδες
...will accomplish the object sought, 56. To solve two simultaneous simple equations: — First Method. Find the value of one of the unknown quantities in terms of the other unknown and the known quantities, from the first equation : that is, proceed exactly as if there were...




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