| Joseph Ray - Algebra - 1848 - 252 pages
...equations, containing two unknown quantities, we have the following RULE, FOR ELIMINATION BY COMPARISON. Find an expression for the value of the same unknown quantity in each of the given equations, and place these values equal to each other ; there will thus be formed a new equation,... | |
| Joseph Ray - Algebra - 1852 - 408 pages
...equations, containing two unknown quantities, we have the following RULE FOR ELIMIHATIOH BY COMPARISON. — Find an expression for the value of the same unknown quantity in each of the given equations, and place these values equal to each other; there will thus Reformed a new equation,... | |
| Elias Loomis - Algebra - 1855 - 356 pages
...the preceding expressions for y, we find The method thus exemplified is expressed in the following RULE. Find an expression for the value of the same...each of the equations, and form a new equation by putting one of these values equal to the other. ELIMINATION BY ADDITION AND SUBTRACTION. (111.) To... | |
| Elias Loomis - Algebra - 1856 - 280 pages
...preceding expressions for y, we find ( 111.) The method thus exemplified is expressed in the following RULE. Find an expression for the value of the same...each of the equations, and form a new equation by putting one of these values equal to the other. Ex. 3. Find the values of x and y in the equations... | |
| Elias Loomis - Algebra - 1858 - 394 pages
...preceding expressions for y, we find y=3. The method thus exemplified is expressed in the following RULE. Find an expression for the value of the same...each of the equations, and form a new equation by putting one of these values equal to the other. ELIMINATION BY ADDITION AND SUBTRACTION. (111.) To... | |
| Benjamin Greenleaf - 1863 - 338 pages
...Substituting, now, 2 for y in equation (3), and reducing, we have (10), or x = 4. Hence the RTJLE. Find an expression for the value of the same unknown...remaining unknown quantity may be determined in the samo way аз that of the first, thus making two independent solutions, one for each unknown quantity.... | |
| Elias Loomis - Algebra - 1864 - 386 pages
...preceding expressions for y, we find y=s. The method thus exemplified is expressed in the following RULE. Find an expression for the value of the same...each of the equations, and form a new equation by putting one of these values equal to the other. ELIMINATION BY ADDITION AND SUBTRACTION. (111.) To... | |
| Joseph Ray - Algebra - 1866 - 420 pages
...(ab'—a'b)x=b/c—bc'; b'c-bc' „ x=—r- 7i. Hence, ab'—a'b Rule for Elimination by Comparison. — Find an expression for the value of the same unknown quantity in each of the given equations, and place these values equal to each other; there will thus be formed a new equation,... | |
| Joseph Ray - Algebra - 1866 - 252 pages
...the values of y, and placing them equal to each other. Hence, TO ELIMINATE BY COMPARISON Rule. — 1. Find an expression for the value of the same unknown quantity in each of the given equations. 2. Place these values equal to each other; there will thus be formed a new equation... | |
| Joseph Ray - Algebra - 1852 - 420 pages
...equations, containing two unknown quantities, we have the following RULE FOR ELIMINATION BY COMPARISON. — Find an expression for the value of the same unknown quantity in each of the given equations, and place these values equal to each other; there will thus be formed a new equation,... | |
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