| William Nicholson - Natural history - 1809 - 716 pages
...only one of the unknown quantities, by any of the following methods: 1" 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 only contain one nuknown quantity,... | |
| James Wood - Algebra - 1815 - 324 pages
...only one of the unknown quantities, by any of the following methods : 1" 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 only contain one unknown quantity,... | |
| William Nicholson - Arts - 1819 - 432 pages
...only one of the unknown quantities, by any of the following methods : 1st 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 only contain one unknown quantity,... | |
| James Ryan - Algebra - 1824 - 548 pages
...it may be more convenient to solve one or both of the equations first ; (hat is, to find the values **of one of the unknown quantities, in terms of the other and known quantities,** as before ; when the rules for eliminating unknown quantities, (§ I. Chap. IV). may be more easily... | |
| James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...it may be more convenient to solve one ot both of the equations first ; that is, to find the values **of one of the unknown quantities, in terms of the other and known quantities,** as before ; when the rules for eliminating unknown quantities, (§ I. Chap. IV). may be more easily... | |
| George Lees - 1826 - 276 pages
...Now, x - sy^~L?—™^H- 12 - « * •— g — g "~ 2 ~~ 86. METHOD 3d, In either equation, Jind a **value of one of the unknown quantities, in terms of the other and known quantities** ; substitute this value for the unknown quantity in the second equation, there will thence arise an... | |
| John Darby (teacher of mathematics.) - 1829 - 212 pages
...Indeterminate Analysis. CASE I. When the given equation contains two unknown quantities. RULE. 1 . **Find the value of one of the unknown quantities in terms of the** rest, as in step first, in the first example. _ 2. Divide the numerator by the denominator, if divisible,... | |
| Peter Nicholson - Algebra - 1831 - 326 pages
...the possible values of x and y 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 by-lc ax—by=c, then z= — ; Or, ax+by=c, then x= — - — • Increase... | |
| John Radford Young - 1839 - 332 pages
...each unknown quantity may be obtained by either of the three following methods. First Method. (54.) **Find the value of one of the unknown quantities in terms of the other and** the known quantities, from the first equation, by the method already given. Find the value of the same... | |
| William Foster - 1840 - 92 pages
...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... | |
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