 | 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 same... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 σελίδες
...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,... | |
 | 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...obtained in which there is only one unknown quantity. Thus in the first of the preceding examples ; from the second equation, *=16 — 4y ; substituting... | |
 | 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... | |
 | 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,... | |
 | Wales Christopher Hotson - 1842 - 306 σελίδες
...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;... | |
 | 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... | |
 | John Bonnycastle - 1848 - 334 σελίδες
...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... | |
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Find the value of one of the unknown quantities, in terms of the other and known quantities... 
