| 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 - 338 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,... | |
| Miles Bland - Geometry - 1821 - 898 pages
...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, x = 16 — 4 у ; substituting... | |
| Miles Bland - Algebra - 1824 - 404 pages
...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, x = 16 — 4y ; substituting... | |
| James Ryan - Algebra - 1824 - 550 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 - Algebra - 1826 - 430 pages
...values of x and and 8x — I3y~ 9, ) y. Ex. 20. Given +=6, to find the values of .c and y. Ang. 7=12, **andy=16. RULE II. 248. Find the value of one of the...value of which may be found as in the last Rule. Ex.** |. Given $ j^Z1' to find the values of * and y. From the first equation, 3;= 17 — 2y ; Substituting... | |
| 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... | |
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