 | John Darby (teacher of mathematics.) - 1829 - 212 σελίδες
...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 - 1831 - 326 σελίδες
...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 σελίδες
...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... | |
 | John D. Williams - 1840 - 634 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,... | |
 | John D. Williams - 1840 - 216 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 terms of the other and known quantities, in the more simple of the two equations ; and substitute this value instead of... | |
 | William Foster - 1840 - 92 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... | |
 | Wales Christopher Hotson - 1842 - 306 σελίδες
...value of each 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... | |
 | Francis Henney Smith - 1842 - 70 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... | |
 | Admiralty - 1845 - 152 σελίδες
...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... | |
 | Scottish school-book assoc - 1845 - 444 σελίδες
...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... | |
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Find the value of one of the unknown quantities, in terms of the other and known quantities... 
