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" Find the value of one of the unknown quantities, in terms of the other and known quantities... "
An Elementary Treatise on Algebra: Theoretical and Practical ... - Σελίδα 146
των James Ryan - 1826 - 383 σελίδες
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Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1857 - 400 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...

A graduated series of exercises in elementary algebra

George Farncomb Wright - 1857
...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,...

Elements of Algebra: On the Basis of M. Bourdon, Embracing Sturm's and ...

Charles Davies - 1860 - 400 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...

New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1863 - 420 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...

New Higher Algebra: An Analytical Course Designed for High Schools ...

Benjamin Greenleaf - 1864 - 394 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...

Algebra: Adapted to the Course of Instruction Usually Pursued in the ...

Paul Allen Towne - 1865 - 298 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...

Elements of algebra

Robert Wallace - 1870
...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...

The boys' algebra

James Cahill (of Dublin.) - 1875 - 209 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,...

New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1875 - 412 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...

The Scholar's Algebra: An Introductory Work on Algebra

Lewis Hensley - 1875 - 258 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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