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" In one of the given equations obtain the value of one of the unknown quantities in terms of the other unknown quantity; Substitute this value in the other equation and solve. "
Algebraical Problems, Producing Simple and Quadratic Equations, with Their ... - Page 18
by Miles Bland - 1824 - 383 pages
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 522 pages
...Substituting the value of x in (3), у = — — ^ — = — 4 EULE. From one of the given equations find the value of one of the unknown quantities in terms of the other, and substitute this value in place of that quantity in the other equation. / 10. { EXAMPLES. Solve by the...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 386 pages
...the second degree, and the other of the first, Equations of this kind may always be solved by finding the value of one of the unknown quantities in terms of the other from the simple equation, and substituting this value in the other equation. 1. Solve the equations...
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The Elements of Mechanical Engineering, Volume 1

Electrical engineering - 1897 - 672 pages
...(8), _1+2X4 ~~3 ; whence, .* = 3. Ans. 61O. To Eliminate by Comparison : Rule. — From cadi equation find the value of one of the unknown quantities in terms of the oilier. Form a new equation by placing tliese two values equal to each other and solve. Elimination...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1897 - 422 pages
...second dey гее. and the other of the first. Equations of this kind may always be solved by finding the value of one of the unknown quantities in terms of the other from the simple equation, and substituting this value in the other equation. 1. Solve the equations...
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Essentials of Algebra for Secondary Schools

Webster Wells - Algebra - 1904 - 384 pages
...the second degree, and the other of the first. Equations of this kind may always be solved by finding the value of one of the unknown quantities in terms of the other from the simple equation, and substituting this value in the other equation. 1. Solve the equations...
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A School Algebra Complete

Fletcher Durell, Edward Rutledge Robbins - Algebra - 1897 - 482 pages
...Substitute for у in (3), x = 36 ~ 26 = 2 о Hence, in general, Jn one о/ ¿Ле given equations obtain the value of one of the unknown quantities in terms of the other unknown quantity ; Substitute this value in the other equation and solve. EXERCISE 56. Solve by substitution....
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Arithmetic, algebra, logarithms, geometry and trigonometry, elementary ...

International Correspondence Schools - Civil engineering - 1899 - 722 pages
...in equation (8), whence, x = 3. Ans. 61O. To Eliminate by Comparison : Rule. — From each equation find the value of one of the unknown quantities in terms of the other. Form a new equation by placing these two -values equal to each other and solve. Elimination by comparison...
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An Algebra for High Schools and Academies

Louis Parker Jocelyn - Algebra - 1902 - 460 pages
...therefore, always possible. 441. PROBLEM 1. To solve equations under Prop. 1. Rule. From the linear equation find the value of one of the unknown quantities in terms of the other unknown quantity and the known quantities. Substitute this value in the quadratic equation, and solve...
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High School Algebra

Middlesex Alfred Bailey - Algebra - 1902 - 336 pages
...unknown quantities, this may be done by various devices of which the more important are : 1. Finding the value of one of the unknown quantities in terms of the other in one equation, and substituting this value in the other equation. 2. Letting y = vx. This expedient...
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The Mechanical Engineer's Pocket-book: A Reference Book of Rules, Tables ...

William Kent - Engineering - 1902 - 1204 pages
...first equation, Zx + 3 = 7; x = 2. Elimination by substitution. — From one of the equations obtain the value of one of the unknown quantities in terms of the other. Substitutute for this unknown quantity its value in the other equation and reduce the resulting equations....
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