 | Charles Davies - 1857 - 408 σελίδες
...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 σελίδες
...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,... | |
 | Charles Davies - 1860 - 412 σελίδες
...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... | |
 | Horatio Nelson Robinson - 1863 - 432 σελίδες
...48+9a; = 28, whence, x = 4. Substituting the value of x in (8), y = 2. Hence the following EULE. I. Find the value of one of the unknown quantities, in terms of the other, from either of the given equations. II. Substitute this value for the same unknown quantity ш the... | |
 | Benjamin Greenleaf - 1864 - 420 σελίδες
...4-|-4y — y= 16 Or, 3y = 12 Whence, y = 4 Substituting the value of y in (3), x = 10 Hence the RULE. Find the value of one of the unknown quantities, in terms of the other, from either of the equations ; and substitute this for the same quantity in the other equation. CASE... | |
 | Paul Allen Towne - 1865 - 314 σελίδες
...substitution. (1.) If necessary, clear the equations of fractions. (2.) Find, in either of the equations, the value of one of the unknown quantities in terms of the other, and substitute this value for the same unknown quantity in the other equation. (3.) From the equation thus... | |
 | Robert Wallace - 1870 - 164 σελίδες
...elimination by substitution, and the rule may be stated as follows ij(83.) RULE. — Find from one equation the value of one of the unknown quantities in terms of the others, and substitute this value in the other equations. You will then have one equation less ; continue... | |
 | James Cahill (of Dublin.) - 1875 - 230 σελίδες
...called that of equating values. 59. Third Method— Given 3z+4'/=43 1 5x — 7y= — 24 J Rule. — Find the value of one of the unknown quantities in terms of the other unknown and the known quantities from one of the equations. Substitute this value in the other equation,... | |
 | Horatio Nelson Robinson - 1875 - 430 σελίδες
...9z = 28 ; whence, x = 4. Substituting the value of x in (3), y = 2. Hence the following RULE. — I. Find the value of one of the unknown quantities, in terms of the other, from either of the given equations. II. Substitute this value for the same unknown quantity in the... | |
 | Lewis Hensley - 1875 - 274 σελίδες
...the signs. II. Another method frequently employed is that of substitution. This consists in finding the value of one of the unknown quantities in terms of the other from one equation, and substituting the expression so found for the first quantity in the other equation.... | |
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Find the value of one of the unknown quantities, in terms of the other and known quantities... 
