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" ... members of the first equation by the corresponding members of the second. "
Second Course in Algebra - Page 196
by Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - 1918 - 277 pages
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Elementary Algebra for the Use of Preparatory Schools

Charles Smith - Algebra - 1894 - 620 pages
...seen from the following example. Ex. 1. Solve the equations x2 + 3zf/ = 28, xy + 4 y2 = 8. Divide the members of the first equation by the corresponding members of the second equation ; we then have x* + 3xy _28_7 xy + 4 y* 8 2' Hence 2 (ж2 + 3 xy) = 7 (xy + 4 г/2) ; .-....
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An Algebraic Arithmetic: Being an Exposition of the Theory and Practice of ...

Silas Ellsworth Coleman - Arithmetic - 1897 - 178 pages
...circles; r^ and r, their radii. Then c, = 2 »*•„ c, = 2 x,v [Art. 97 (1)] Hence, dividing the members of the first equation by the corresponding members of the second, is equal to the ratio of their radii. Or, more briefly : The circumferences of two circles are to each...
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Secondary Algebra

George Egbert Fisher - 1900 - 444 pages
...Multiplying the first fraction by b, and the second by d, we have vb = a, and wd = c. Dividing the members of the first equation by the corresponding members of the second, we have vb -=- wd = a -t- c, or — = — wd с Multiplying by j* ^x£ = 5x£ о wd b с b or *=^....
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Selected List of Educational Books for Secondary Schools

Macmillan & Co - Textbooks - 1901 - 804 pages
...second degree. The method will be seen from the following example. Ex. 1. Solve the equations Divide the members of the first equation by the corresponding members of the second equation ; we then have _ ¥ ~ 2 ' Hence 2 (*2 + 3xy) = 7 (xy + 4y2) ! that is, (2a; + 7y) (x - 4y)...
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Complete Secondary Algebra

George Egbert Fisher - 1901 - 622 pages
...Multiplying the first fraction by b, and the second by d, we have vb = a, and wd = c. Dividing the members of the first equation by the corresponding members of the second, we have , , vb a vb -a- wd = a -5- c, or — = — wd с Multiplying by £, l£x£ = SxjL о wd b с...
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Complete School Algebra

Herbert Edwin Hawkes, William Arthur Luby, Frank Charles Touton - Algebra - 1919 - 536 pages
...a quadratic .has two sets of roots and hence cannot be equivalent to a linear system (see page 411, second paragraph). Sometimes an equation simpler than...possible, pair results, and check each set of real roots : a;2 -4^ = 20, i ' x + 2y = 2. 2 HINT. Division gives the equiv- R*h — 75 = 0, alent system *•...
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