 | Wales Christopher Hotson - 1842 - 306 pages
...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 - Curves, Algebraic - 1842 - 70 pages
...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... | |
 | James Bates Thomson - Algebra - 1844 - 266 pages
...process is called extermination by substitution. Hence, 279. CASE II. To exterminate an unknown quantity by substitution. Find the value of one of the unknown quantities, in one of the equations ; and then in the other equation, SUBSTITUTE this value for the unknown quantity... | |
 | Admiralty - 1845 - 152 pages
...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 pages
...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 pages
...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... | |
 | Jeremiah Day, James Bates Thomson - Algebra - 1848 - 264 pages
...process is called extermination by substitution. Hence, 279. CASE IL To exterminate an unknown quantity by substitution. Find the value of one of the unknown quantities, in one of the equations ; and then in the other equation, SUBSTITUTE this value for the unknown quantity... | |
 | John Radford Young - 1851 - 266 pages
...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... | |
 | Charles Davies - Algebra - 1857 - 408 pages
...quantities, when one of the equations is of the second degree, and the other of the first. For, we can find the value of one of the unknown quantities in terms of the other and known quantities, from the latter equation, and by substituting this in the former, we shall have a single equation of... | |
 | George Farncomb Wright - 1857 - 98 pages
...simultaneous Equations of the following Exercise may all be solved by deriving, from one of the Equations, the value of one of the unknown quantities in terms of the other, and substituting this value in the second of the proposed Equations. The student will occasionally, however,... | |
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In one of the given equations obtain the value of one of the unknown quantities in terms of the other unknown quantity; Substitute this value in the other equation and solve. 
