Εικόνες σελίδας
PDF
Ηλεκτρ. έκδοση
[blocks in formation]

ce as before we shall obtain x = 4 and then deduce y = 2.

[merged small][merged small][merged small][merged small][merged small][merged small][ocr errors]
[blocks in formation]
[merged small][ocr errors][merged small][merged small][merged small][merged small][merged small]
[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][subsumed][subsumed][merged small][merged small][merged small][merged small][ocr errors][ocr errors][merged small][merged small][merged small][ocr errors][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small]
[merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors]
[merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][ocr errors][ocr errors][merged small][subsumed][ocr errors][merged small][merged small][merged small][merged small][merged small][ocr errors][subsumed][subsumed][ocr errors][subsumed][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][subsumed][ocr errors][merged small][merged small][merged small][merged small][subsumed][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][subsumed][merged small][merged small][merged small][subsumed][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][ocr errors][subsumed][merged small][merged small][merged small][subsumed][merged small][merged small][merged small][merged small]

Or thus; from the first equation we obtain y:

=

22-4x 3

[blocks in formation]

Hence as before we shall obtain x = 4 and then deduce y = 2.

EXAMPLES OF SIMULTANEOUS SIMPLE EQUATIONS WITH TWO
UNKNOWN QUANTITIES.

[merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][subsumed][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small]
[merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][subsumed][merged small][merged small][merged small][subsumed][merged small][merged small][ocr errors][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][ocr errors][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][merged small][ocr errors][merged small][merged small]

XII.

SIMULTANEOUS EQUATIONS OF THE FIRST DEGREE WITH MORE THAN TWO UNKNOWN QUANTITIES.

182. If there be three simple equations and three unknown quantities, deduce from two of the equations an equation containing only two of the unknown quantities by the rules of the preceding chapter; then deduce from the third equation and either of the former two, another equation containing the same two unknown quantities; and from the two equations thus obtained the unknown quantities which they involve may be found. The third quantity may be found by substituting the above values in any of the proposed equations.

[blocks in formation]

For convenience of reference the equations are numbered (1), (2), and (3), and this numbering is continued as we proceed with the solution.

Multiply (1) by 3, and (2) by 2; thus,

[blocks in formation]
« ΠροηγούμενηΣυνέχεια »