Elements of Algebra for Colleges Schools And Private Students
Elements of Algebra for Colleges Schools And Private Students
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In our eReader you can find the full English version of the book. Read Elements of Algebra for Colleges Schools And Private Students Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elements of Algebra for Colleges Schools And Private Students
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An Indeterminate Equation is one that can be verified by different values of the same unknown quantity.
Thus, if we have, . . . X— 2/=3, By transposition, . . . X—3~\-y.
If we make y=\ ; then, £=4. If we make 2/=2; then, #=5, and so on; from which it is evident that an unlimited number of values may be given to X and y, that will verify the equation.
If we have two equations containing three unknown quantities, we may eliminate one of them ; this will leave one equation containing two unknown q...uantities, which, as in the preceding example, will be indeterminate.
Thus, in x+ty— 5^=20, x- 2/+3z=16, If we eliminate re, we have, after reducing, y— 2z=l ; whence, y=l-\-2z.
SIMPLE EQUATIONS. 125 If we make 0=1 ; then, £/=3, and z=20-f 5z— 3y—W. If we make z=2 ; then, #=5, and x=15.
So, any number of values of the three unknown quantities may- be found that will verify both equations. These examples are suf- ficient to establish the following General Principle. — When the number of unknown quan- tities exceeds the number of independent equations, the prob- lem is indeterminate.
What to read after Elements of Algebra for Colleges Schools And Private Students?
You can find similar books in the "Read Also" column, or choose other free books by Joseph Ray to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
An Indeterminate Equation is one that can be verified by different values of the same unknown quantity.
Thus, if we have, . . . X— 2/=3, By transposition, . . . X—3~\-y.
If we make y=\ ; then, £=4. If we make 2/=2; then, #=5, and so on; from which it is evident that an unlimited number of values may be given to X and y, that will verify the equation.
If we have two equations containing three unknown quantities, we may eliminate one of them ; this will leave one equation containing two unknown q...uantities, which, as in the preceding example, will be indeterminate.
Thus, in x+ty— 5^=20, x- 2/+3z=16, If we eliminate re, we have, after reducing, y— 2z=l ; whence, y=l-\-2z.
SIMPLE EQUATIONS. 125 If we make 0=1 ; then, £/=3, and z=20-f 5z— 3y—W. If we make z=2 ; then, #=5, and x=15.
So, any number of values of the three unknown quantities may- be found that will verify both equations. These examples are suf- ficient to establish the following General Principle. — When the number of unknown quan- tities exceeds the number of independent equations, the prob- lem is indeterminate.
What to read after Elements of Algebra for Colleges Schools And Private Students?
You can find similar books in the "Read Also" column, or choose other free books by Joseph Ray to read onlineMoreLess
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