 A system of linear equations has a definite number of solutions. (i.) When the number of equations is the same as the number of unknown numbers. (ii.) When the equations are independent and consistent.  Higher Algebra - Page 204by George Egbert Fisher, Isaac Joachim Schwatt - 1901 - 615 pagesFull view - About this book
 | James Craig Watson - Astronomy - 1868 - 678 pages
...+/"i + n" = 0, Ac. Ac. which may be extended so as to include any number of unknown quantities. If the number of equations is the same as the number of unknown quantities, the resulting values of these will exactly satisfy the several equations; but if the number... | |
 | James Craig Watson - Orbits - 1868 - 662 pages
...+f"t + n" = 0, &c. &c. which may be extended so as to include any number of unknown quantities. If the number of equations is the same as the number of unknown quantities, the resulting values of these will exactly satisfy the several equations ; but if the number... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1898 - 712 pages
...principles, which will be proved later : A system of equations has a definite number of solutions, (i.) When the number of equations is the same as the number of unknown numbers. (ii.) And when the equations are all independent and consistent. EXERCISES I. Of which of the following systems... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - 1899 - 506 pages
...principles, which will be proved later : A system of linear equations has a definite number of solutions, (i.) When the number of equations is the same as the...? Which have equations consistent and independent ? ж + 5у=11, Г2х + 3?/ = 4, Г 3 ж + 10 w = 42. 3. l ' ' 4. < ж + 7г/ = 15. [4z — б у =... | |
 | George Egbert Fisher - 1900 - 444 pages
...the following general principles : Л system of linear equations has a definite number of solutions. (i.) When the number of equations is the same as the...When the equations are independent and consistent. 5. Two systems of equations are equivalent when every solution of either system is a solution of the... | |
 | George Egbert Fisher, Isaac Joachim Schwatt - Algebra - 1900 - 484 pages
...linear equations has a definite number of solutions. (i.) When the number of equations is the sa?ne as the number of unknown numbers. (ii.) When the equations are independent and consistent. 5. Two systems of equations are equivalent when every solution of either system is a solution of the... | |
 | James Craig Watson - Comets - 1900 - 670 pages
...+f"t + n" = 0, &c. &c. which may be extended so as to include any number of unknown quantities. If the number of equations is the same as the number of unknown quantities, the resulting values of these will exactly satisfy the several equations; but if the number... | |
 | George Egbert Fisher - 1901 - 622 pages
...the following general principles : A system of linear equations has a definite number of solutions. (i.) When the number of equations is the same as the...When the equations are independent and consistent. 5. Two systems of equations are equivalent when every solution of either system is a solution of the... | |
 | James Harrington Boyd - Algebra - 1901 - 812 pages
...principles which will be proved later. A system of equations will have a definite number of solutions, I. When the number of equations is the same as the number of unknown quantities. II. And when the equations are all compatible and independent. EXERCISE XXXIX Of the following... | |
 | Webster Wells - Algebra - 1904 - 642 pages
...solution. And, in general, « system of indejiendent and consistent linear equations has a single solution when the number of equations is the same as the number of unknown numbers. If we have a system of m independent linear equations, involving m 4- n unknown numbers, we may eliminate... | |
| |
